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Finding the Third Proportional to 152,938.13 and 330,490.13

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Solution

The third proportional to 152,938.13 and 330,490.13 is: 714,169.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,938.13 : 330,490.13 = 330,490.13 : x
  2. Step 2: Convert to fraction form
    152,938.13/330,490.13 = 330,490.13/x
  3. Step 3: Cross multiply
    152,938.13x = 330,490.13 × 330,490.13
  4. Step 4: Simplify right side
    152,938.13x = 109,223,722,722.52
  5. Step 5: Solve for x
    x = 109,223,722,722.52/152,938.13
  6. Step 6: Final answer
    x = 714,169.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.