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Finding the Third Proportional to 194,030.44 and 424,131.19

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Solution

The third proportional to 194,030.44 and 424,131.19 is: 927,108.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,030.44 : 424,131.19 = 424,131.19 : x
  2. Step 2: Convert to fraction form
    194,030.44/424,131.19 = 424,131.19/x
  3. Step 3: Cross multiply
    194,030.44x = 424,131.19 × 424,131.19
  4. Step 4: Simplify right side
    194,030.44x = 179,887,264,210.16
  5. Step 5: Solve for x
    x = 179,887,264,210.16/194,030.44
  6. Step 6: Final answer
    x = 927,108.48

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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.