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Finding the Third Proportional to 225,677 and 357,011

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Solution

The third proportional to 225,677 and 357,011 is: 564,775.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,677 : 357,011 = 357,011 : x
  2. Step 2: Convert to fraction form
    225,677/357,011 = 357,011/x
  3. Step 3: Cross multiply
    225,677x = 357,011 × 357,011
  4. Step 4: Simplify right side
    225,677x = 127,456,854,121
  5. Step 5: Solve for x
    x = 127,456,854,121/225,677
  6. Step 6: Final answer
    x = 564,775.56

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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.