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Finding the Third Proportional to 175,116.09 and 256,428.91

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Solution

The third proportional to 175,116.09 and 256,428.91 is: 375,498.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,116.09 : 256,428.91 = 256,428.91 : x
  2. Step 2: Convert to fraction form
    175,116.09/256,428.91 = 256,428.91/x
  3. Step 3: Cross multiply
    175,116.09x = 256,428.91 × 256,428.91
  4. Step 4: Simplify right side
    175,116.09x = 65,755,787,967.27
  5. Step 5: Solve for x
    x = 65,755,787,967.27/175,116.09
  6. Step 6: Final answer
    x = 375,498.26

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.