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Finding the Third Proportional to 147,511.13 and 262,284.75

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Solution

The third proportional to 147,511.13 and 262,284.75 is: 466,360.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,511.13 : 262,284.75 = 262,284.75 : x
  2. Step 2: Convert to fraction form
    147,511.13/262,284.75 = 262,284.75/x
  3. Step 3: Cross multiply
    147,511.13x = 262,284.75 × 262,284.75
  4. Step 4: Simplify right side
    147,511.13x = 68,793,290,082.56
  5. Step 5: Solve for x
    x = 68,793,290,082.56/147,511.13
  6. Step 6: Final answer
    x = 466,360.01

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.