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Finding the Third Proportional to 237,498 and 367,272

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Solution

The third proportional to 237,498 and 367,272 is: 567,957.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,498 : 367,272 = 367,272 : x
  2. Step 2: Convert to fraction form
    237,498/367,272 = 367,272/x
  3. Step 3: Cross multiply
    237,498x = 367,272 × 367,272
  4. Step 4: Simplify right side
    237,498x = 134,888,721,984
  5. Step 5: Solve for x
    x = 134,888,721,984/237,498
  6. Step 6: Final answer
    x = 567,957.30

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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.