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Finding the Third Proportional to 266,167.50 and 580,510.13

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Solution

The third proportional to 266,167.50 and 580,510.13 is: 1,266,089.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,167.50 : 580,510.13 = 580,510.13 : x
  2. Step 2: Convert to fraction form
    266,167.50/580,510.13 = 580,510.13/x
  3. Step 3: Cross multiply
    266,167.50x = 580,510.13 × 580,510.13
  4. Step 4: Simplify right side
    266,167.50x = 336,992,005,227.52
  5. Step 5: Solve for x
    x = 336,992,005,227.52/266,167.50
  6. Step 6: Final answer
    x = 1,266,089.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.