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Finding the Third Proportional to 147,164.25 and 317,856.75

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Solution

The third proportional to 147,164.25 and 317,856.75 is: 686,531.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,164.25 : 317,856.75 = 317,856.75 : x
  2. Step 2: Convert to fraction form
    147,164.25/317,856.75 = 317,856.75/x
  3. Step 3: Cross multiply
    147,164.25x = 317,856.75 × 317,856.75
  4. Step 4: Simplify right side
    147,164.25x = 101,032,913,520.56
  5. Step 5: Solve for x
    x = 101,032,913,520.56/147,164.25
  6. Step 6: Final answer
    x = 686,531.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.