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Finding the Third Proportional to 242,549 and 372,302

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Solution

The third proportional to 242,549 and 372,302 is: 571,467.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,549 : 372,302 = 372,302 : x
  2. Step 2: Convert to fraction form
    242,549/372,302 = 372,302/x
  3. Step 3: Cross multiply
    242,549x = 372,302 × 372,302
  4. Step 4: Simplify right side
    242,549x = 138,608,779,204
  5. Step 5: Solve for x
    x = 138,608,779,204/242,549
  6. Step 6: Final answer
    x = 571,467.12

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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.