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Finding the Third Proportional to 225,718 and 357,113

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Solution

The third proportional to 225,718 and 357,113 is: 564,995.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,718 : 357,113 = 357,113 : x
  2. Step 2: Convert to fraction form
    225,718/357,113 = 357,113/x
  3. Step 3: Cross multiply
    225,718x = 357,113 × 357,113
  4. Step 4: Simplify right side
    225,718x = 127,529,694,769
  5. Step 5: Solve for x
    x = 127,529,694,769/225,718
  6. Step 6: Final answer
    x = 564,995.68

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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.