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Finding the Third Proportional to 118,232.50 and 256,559

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Solution

The third proportional to 118,232.50 and 256,559 is: 556,721.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,232.50 : 256,559 = 256,559 : x
  2. Step 2: Convert to fraction form
    118,232.50/256,559 = 256,559/x
  3. Step 3: Cross multiply
    118,232.50x = 256,559 × 256,559
  4. Step 4: Simplify right side
    118,232.50x = 65,822,520,481
  5. Step 5: Solve for x
    x = 65,822,520,481/118,232.50
  6. Step 6: Final answer
    x = 556,721.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.