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Finding the Third Proportional to 177,773 and 293,624

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Solution

The third proportional to 177,773 and 293,624 is: 484,972.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,773 : 293,624 = 293,624 : x
  2. Step 2: Convert to fraction form
    177,773/293,624 = 293,624/x
  3. Step 3: Cross multiply
    177,773x = 293,624 × 293,624
  4. Step 4: Simplify right side
    177,773x = 86,215,053,376
  5. Step 5: Solve for x
    x = 86,215,053,376/177,773
  6. Step 6: Final answer
    x = 484,972.71

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.