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Finding the Third Proportional to 252,249.19 and 377,678.95

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Solution

The third proportional to 252,249.19 and 377,678.95 is: 565,478.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,249.19 : 377,678.95 = 377,678.95 : x
  2. Step 2: Convert to fraction form
    252,249.19/377,678.95 = 377,678.95/x
  3. Step 3: Cross multiply
    252,249.19x = 377,678.95 × 377,678.95
  4. Step 4: Simplify right side
    252,249.19x = 142,641,391,633.60
  5. Step 5: Solve for x
    x = 142,641,391,633.60/252,249.19
  6. Step 6: Final answer
    x = 565,478.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.