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Finding the Third Proportional to 227,098.13 and 352,639.69

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Solution

The third proportional to 227,098.13 and 352,639.69 is: 547,581.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,098.13 : 352,639.69 = 352,639.69 : x
  2. Step 2: Convert to fraction form
    227,098.13/352,639.69 = 352,639.69/x
  3. Step 3: Cross multiply
    227,098.13x = 352,639.69 × 352,639.69
  4. Step 4: Simplify right side
    227,098.13x = 124,354,749,200.10
  5. Step 5: Solve for x
    x = 124,354,749,200.10/227,098.13
  6. Step 6: Final answer
    x = 547,581.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.