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Finding the Third Proportional to 227,128.50 and 352,684.13

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Solution

The third proportional to 227,128.50 and 352,684.13 is: 547,646.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,128.50 : 352,684.13 = 352,684.13 : x
  2. Step 2: Convert to fraction form
    227,128.50/352,684.13 = 352,684.13/x
  3. Step 3: Cross multiply
    227,128.50x = 352,684.13 × 352,684.13
  4. Step 4: Simplify right side
    227,128.50x = 124,386,092,027.02
  5. Step 5: Solve for x
    x = 124,386,092,027.02/227,128.50
  6. Step 6: Final answer
    x = 547,646.34

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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.