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Finding the Third Proportional to 266,080.50 and 423,591

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Solution

The third proportional to 266,080.50 and 423,591 is: 674,342.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,080.50 : 423,591 = 423,591 : x
  2. Step 2: Convert to fraction form
    266,080.50/423,591 = 423,591/x
  3. Step 3: Cross multiply
    266,080.50x = 423,591 × 423,591
  4. Step 4: Simplify right side
    266,080.50x = 179,429,335,281
  5. Step 5: Solve for x
    x = 179,429,335,281/266,080.50
  6. Step 6: Final answer
    x = 674,342.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.