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Finding the Third Proportional to 242,744 and 371,508

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Solution

The third proportional to 242,744 and 371,508 is: 568,575.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,744 : 371,508 = 371,508 : x
  2. Step 2: Convert to fraction form
    242,744/371,508 = 371,508/x
  3. Step 3: Cross multiply
    242,744x = 371,508 × 371,508
  4. Step 4: Simplify right side
    242,744x = 138,018,194,064
  5. Step 5: Solve for x
    x = 138,018,194,064/242,744
  6. Step 6: Final answer
    x = 568,575.10

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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.