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Finding the Third Proportional to 109,452.50 and 239,664

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Solution

The third proportional to 109,452.50 and 239,664 is: 524,783.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,452.50 : 239,664 = 239,664 : x
  2. Step 2: Convert to fraction form
    109,452.50/239,664 = 239,664/x
  3. Step 3: Cross multiply
    109,452.50x = 239,664 × 239,664
  4. Step 4: Simplify right side
    109,452.50x = 57,438,832,896
  5. Step 5: Solve for x
    x = 57,438,832,896/109,452.50
  6. Step 6: Final answer
    x = 524,783.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.