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Finding the Third Proportional to 109,372.50 and 239,319

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Solution

The third proportional to 109,372.50 and 239,319 is: 523,656.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,372.50 : 239,319 = 239,319 : x
  2. Step 2: Convert to fraction form
    109,372.50/239,319 = 239,319/x
  3. Step 3: Cross multiply
    109,372.50x = 239,319 × 239,319
  4. Step 4: Simplify right side
    109,372.50x = 57,273,583,761
  5. Step 5: Solve for x
    x = 57,273,583,761/109,372.50
  6. Step 6: Final answer
    x = 523,656.16

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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.