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Finding the Third Proportional to 172,511 and 237,552

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Solution

The third proportional to 172,511 and 237,552 is: 327,115.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,511 : 237,552 = 237,552 : x
  2. Step 2: Convert to fraction form
    172,511/237,552 = 237,552/x
  3. Step 3: Cross multiply
    172,511x = 237,552 × 237,552
  4. Step 4: Simplify right side
    172,511x = 56,430,952,704
  5. Step 5: Solve for x
    x = 56,430,952,704/172,511
  6. Step 6: Final answer
    x = 327,115.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.