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Finding the Third Proportional to 194,040.19 and 424,152.38

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Solution

The third proportional to 194,040.19 and 424,152.38 is: 927,154.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,040.19 : 424,152.38 = 424,152.38 : x
  2. Step 2: Convert to fraction form
    194,040.19/424,152.38 = 424,152.38/x
  3. Step 3: Cross multiply
    194,040.19x = 424,152.38 × 424,152.38
  4. Step 4: Simplify right side
    194,040.19x = 179,905,237,218.14
  5. Step 5: Solve for x
    x = 179,905,237,218.14/194,040.19
  6. Step 6: Final answer
    x = 927,154.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.