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Finding the Third Proportional to 225,489 and 356,786

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Solution

The third proportional to 225,489 and 356,786 is: 564,534.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,489 : 356,786 = 356,786 : x
  2. Step 2: Convert to fraction form
    225,489/356,786 = 356,786/x
  3. Step 3: Cross multiply
    225,489x = 356,786 × 356,786
  4. Step 4: Simplify right side
    225,489x = 127,296,249,796
  5. Step 5: Solve for x
    x = 127,296,249,796/225,489
  6. Step 6: Final answer
    x = 564,534.19

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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.