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Finding the Third Proportional to 157,586 and 328,468

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Solution

The third proportional to 157,586 and 328,468 is: 684,649.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,586 : 328,468 = 328,468 : x
  2. Step 2: Convert to fraction form
    157,586/328,468 = 328,468/x
  3. Step 3: Cross multiply
    157,586x = 328,468 × 328,468
  4. Step 4: Simplify right side
    157,586x = 107,891,227,024
  5. Step 5: Solve for x
    x = 107,891,227,024/157,586
  6. Step 6: Final answer
    x = 684,649.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.