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Finding the Third Proportional to 172,522 and 375,419

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Solution

The third proportional to 172,522 and 375,419 is: 816,935.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,522 : 375,419 = 375,419 : x
  2. Step 2: Convert to fraction form
    172,522/375,419 = 375,419/x
  3. Step 3: Cross multiply
    172,522x = 375,419 × 375,419
  4. Step 4: Simplify right side
    172,522x = 140,939,425,561
  5. Step 5: Solve for x
    x = 140,939,425,561/172,522
  6. Step 6: Final answer
    x = 816,935.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.