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Finding the Third Proportional to 176,545.13 and 392,320.13

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Solution

The third proportional to 176,545.13 and 392,320.13 is: 871,817.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,545.13 : 392,320.13 = 392,320.13 : x
  2. Step 2: Convert to fraction form
    176,545.13/392,320.13 = 392,320.13/x
  3. Step 3: Cross multiply
    176,545.13x = 392,320.13 × 392,320.13
  4. Step 4: Simplify right side
    176,545.13x = 153,915,080,480.02
  5. Step 5: Solve for x
    x = 153,915,080,480.02/176,545.13
  6. Step 6: Final answer
    x = 871,817.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.