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Finding the Third Proportional to 272,161.13 and 423,145.69

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Solution

The third proportional to 272,161.13 and 423,145.69 is: 657,890.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,161.13 : 423,145.69 = 423,145.69 : x
  2. Step 2: Convert to fraction form
    272,161.13/423,145.69 = 423,145.69/x
  3. Step 3: Cross multiply
    272,161.13x = 423,145.69 × 423,145.69
  4. Step 4: Simplify right side
    272,161.13x = 179,052,272,849.85
  5. Step 5: Solve for x
    x = 179,052,272,849.85/272,161.13
  6. Step 6: Final answer
    x = 657,890.70

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.