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Finding the Third Proportional to 217,032.75 and 337,972.50

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Solution

The third proportional to 217,032.75 and 337,972.50 is: 526,304.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,032.75 : 337,972.50 = 337,972.50 : x
  2. Step 2: Convert to fraction form
    217,032.75/337,972.50 = 337,972.50/x
  3. Step 3: Cross multiply
    217,032.75x = 337,972.50 × 337,972.50
  4. Step 4: Simplify right side
    217,032.75x = 114,225,410,756.25
  5. Step 5: Solve for x
    x = 114,225,410,756.25/217,032.75
  6. Step 6: Final answer
    x = 526,304.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.