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Finding the Third Proportional to 194,038.88 and 424,146.38

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Solution

The third proportional to 194,038.88 and 424,146.38 is: 927,134.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,038.88 : 424,146.38 = 424,146.38 : x
  2. Step 2: Convert to fraction form
    194,038.88/424,146.38 = 424,146.38/x
  3. Step 3: Cross multiply
    194,038.88x = 424,146.38 × 424,146.38
  4. Step 4: Simplify right side
    194,038.88x = 179,900,147,425.64
  5. Step 5: Solve for x
    x = 179,900,147,425.64/194,038.88
  6. Step 6: Final answer
    x = 927,134.56

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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.