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Finding the Third Proportional to 225,716 and 357,110

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Solution

The third proportional to 225,716 and 357,110 is: 564,991.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,716 : 357,110 = 357,110 : x
  2. Step 2: Convert to fraction form
    225,716/357,110 = 357,110/x
  3. Step 3: Cross multiply
    225,716x = 357,110 × 357,110
  4. Step 4: Simplify right side
    225,716x = 127,527,552,100
  5. Step 5: Solve for x
    x = 127,527,552,100/225,716
  6. Step 6: Final answer
    x = 564,991.19

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.