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Finding the Third Proportional to 119,847.77 and 266,298.95

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Solution

The third proportional to 119,847.77 and 266,298.95 is: 591,710.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,847.77 : 266,298.95 = 266,298.95 : x
  2. Step 2: Convert to fraction form
    119,847.77/266,298.95 = 266,298.95/x
  3. Step 3: Cross multiply
    119,847.77x = 266,298.95 × 266,298.95
  4. Step 4: Simplify right side
    119,847.77x = 70,915,132,061.65
  5. Step 5: Solve for x
    x = 70,915,132,061.65/119,847.77
  6. Step 6: Final answer
    x = 591,710.05

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.