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Finding the Third Proportional to 242,353.38 and 517,692.88

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Solution

The third proportional to 242,353.38 and 517,692.88 is: 1,105,847.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,353.38 : 517,692.88 = 517,692.88 : x
  2. Step 2: Convert to fraction form
    242,353.38/517,692.88 = 517,692.88/x
  3. Step 3: Cross multiply
    242,353.38x = 517,692.88 × 517,692.88
  4. Step 4: Simplify right side
    242,353.38x = 268,005,912,825.77
  5. Step 5: Solve for x
    x = 268,005,912,825.77/242,353.38
  6. Step 6: Final answer
    x = 1,105,847.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.