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Finding the Third Proportional to 175,074.75 and 256,402.13

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Solution

The third proportional to 175,074.75 and 256,402.13 is: 375,508.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,074.75 : 256,402.13 = 256,402.13 : x
  2. Step 2: Convert to fraction form
    175,074.75/256,402.13 = 256,402.13/x
  3. Step 3: Cross multiply
    175,074.75x = 256,402.13 × 256,402.13
  4. Step 4: Simplify right side
    175,074.75x = 65,742,049,704.52
  5. Step 5: Solve for x
    x = 65,742,049,704.52/175,074.75
  6. Step 6: Final answer
    x = 375,508.46

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Why These Related Problems?

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