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Finding the Third Proportional to 104,376 and 232,657

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Solution

The third proportional to 104,376 and 232,657 is: 518,598.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,376 : 232,657 = 232,657 : x
  2. Step 2: Convert to fraction form
    104,376/232,657 = 232,657/x
  3. Step 3: Cross multiply
    104,376x = 232,657 × 232,657
  4. Step 4: Simplify right side
    104,376x = 54,129,279,649
  5. Step 5: Solve for x
    x = 54,129,279,649/104,376
  6. Step 6: Final answer
    x = 518,598.91

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.