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Finding the Third Proportional to 147,930.75 and 217,167.75

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Solution

The third proportional to 147,930.75 and 217,167.75 is: 318,810.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,930.75 : 217,167.75 = 217,167.75 : x
  2. Step 2: Convert to fraction form
    147,930.75/217,167.75 = 217,167.75/x
  3. Step 3: Cross multiply
    147,930.75x = 217,167.75 × 217,167.75
  4. Step 4: Simplify right side
    147,930.75x = 47,161,831,640.06
  5. Step 5: Solve for x
    x = 47,161,831,640.06/147,930.75
  6. Step 6: Final answer
    x = 318,810.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.