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Finding the Third Proportional to 266,242.50 and 573,081

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Solution

The third proportional to 266,242.50 and 573,081 is: 1,233,543.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,242.50 : 573,081 = 573,081 : x
  2. Step 2: Convert to fraction form
    266,242.50/573,081 = 573,081/x
  3. Step 3: Cross multiply
    266,242.50x = 573,081 × 573,081
  4. Step 4: Simplify right side
    266,242.50x = 328,421,832,561
  5. Step 5: Solve for x
    x = 328,421,832,561/266,242.50
  6. Step 6: Final answer
    x = 1,233,543.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.