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Finding the Third Proportional to 187,732 and 293,118

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Solution

The third proportional to 187,732 and 293,118 is: 457,663.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,732 : 293,118 = 293,118 : x
  2. Step 2: Convert to fraction form
    187,732/293,118 = 293,118/x
  3. Step 3: Cross multiply
    187,732x = 293,118 × 293,118
  4. Step 4: Simplify right side
    187,732x = 85,918,161,924
  5. Step 5: Solve for x
    x = 85,918,161,924/187,732
  6. Step 6: Final answer
    x = 457,663.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.