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Finding the Third Proportional to 120,622.50 and 266,047.88

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Solution

The third proportional to 120,622.50 and 266,047.88 is: 586,801.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,622.50 : 266,047.88 = 266,047.88 : x
  2. Step 2: Convert to fraction form
    120,622.50/266,047.88 = 266,047.88/x
  3. Step 3: Cross multiply
    120,622.50x = 266,047.88 × 266,047.88
  4. Step 4: Simplify right side
    120,622.50x = 70,781,471,792.02
  5. Step 5: Solve for x
    x = 70,781,471,792.02/120,622.50
  6. Step 6: Final answer
    x = 586,801.57

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.