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Finding the Third Proportional to 175,404.38 and 264,692.81

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Solution

The third proportional to 175,404.38 and 264,692.81 is: 399,432.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,404.38 : 264,692.81 = 264,692.81 : x
  2. Step 2: Convert to fraction form
    175,404.38/264,692.81 = 264,692.81/x
  3. Step 3: Cross multiply
    175,404.38x = 264,692.81 × 264,692.81
  4. Step 4: Simplify right side
    175,404.38x = 70,062,284,989.16
  5. Step 5: Solve for x
    x = 70,062,284,989.16/175,404.38
  6. Step 6: Final answer
    x = 399,432.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.