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Finding the Third Proportional to 172,264.50 and 253,473

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Solution

The third proportional to 172,264.50 and 253,473 is: 372,964.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,264.50 : 253,473 = 253,473 : x
  2. Step 2: Convert to fraction form
    172,264.50/253,473 = 253,473/x
  3. Step 3: Cross multiply
    172,264.50x = 253,473 × 253,473
  4. Step 4: Simplify right side
    172,264.50x = 64,248,561,729
  5. Step 5: Solve for x
    x = 64,248,561,729/172,264.50
  6. Step 6: Final answer
    x = 372,964.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.