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Finding the Third Proportional to 130,842 and 286,578

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Solution

The third proportional to 130,842 and 286,578 is: 627,680.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,842 : 286,578 = 286,578 : x
  2. Step 2: Convert to fraction form
    130,842/286,578 = 286,578/x
  3. Step 3: Cross multiply
    130,842x = 286,578 × 286,578
  4. Step 4: Simplify right side
    130,842x = 82,126,950,084
  5. Step 5: Solve for x
    x = 82,126,950,084/130,842
  6. Step 6: Final answer
    x = 627,680.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.