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Finding the Third Proportional to 187,264.13 and 293,446.88

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Solution

The third proportional to 187,264.13 and 293,446.88 is: 459,837.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,264.13 : 293,446.88 = 293,446.88 : x
  2. Step 2: Convert to fraction form
    187,264.13/293,446.88 = 293,446.88/x
  3. Step 3: Cross multiply
    187,264.13x = 293,446.88 × 293,446.88
  4. Step 4: Simplify right side
    187,264.13x = 86,111,068,447.27
  5. Step 5: Solve for x
    x = 86,111,068,447.27/187,264.13
  6. Step 6: Final answer
    x = 459,837.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.