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Finding the Third Proportional to 121,761.50 and 266,435

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Solution

The third proportional to 121,761.50 and 266,435 is: 583,005.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,761.50 : 266,435 = 266,435 : x
  2. Step 2: Convert to fraction form
    121,761.50/266,435 = 266,435/x
  3. Step 3: Cross multiply
    121,761.50x = 266,435 × 266,435
  4. Step 4: Simplify right side
    121,761.50x = 70,987,609,225
  5. Step 5: Solve for x
    x = 70,987,609,225/121,761.50
  6. Step 6: Final answer
    x = 583,005.38

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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.