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Finding the Third Proportional to 202,024.13 and 309,187.13

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Solution

The third proportional to 202,024.13 and 309,187.13 is: 473,194.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,024.13 : 309,187.13 = 309,187.13 : x
  2. Step 2: Convert to fraction form
    202,024.13/309,187.13 = 309,187.13/x
  3. Step 3: Cross multiply
    202,024.13x = 309,187.13 × 309,187.13
  4. Step 4: Simplify right side
    202,024.13x = 95,596,678,265.77
  5. Step 5: Solve for x
    x = 95,596,678,265.77/202,024.13
  6. Step 6: Final answer
    x = 473,194.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.