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Finding the Third Proportional to 157,249.13 and 209,503.13

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Solution

The third proportional to 157,249.13 and 209,503.13 is: 279,121.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,249.13 : 209,503.13 = 209,503.13 : x
  2. Step 2: Convert to fraction form
    157,249.13/209,503.13 = 209,503.13/x
  3. Step 3: Cross multiply
    157,249.13x = 209,503.13 × 209,503.13
  4. Step 4: Simplify right side
    157,249.13x = 43,891,559,384.77
  5. Step 5: Solve for x
    x = 43,891,559,384.77/157,249.13
  6. Step 6: Final answer
    x = 279,121.17

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.