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Finding the Third Proportional to 229,874 and 356,769

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Solution

The third proportional to 229,874 and 356,769 is: 553,712.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,874 : 356,769 = 356,769 : x
  2. Step 2: Convert to fraction form
    229,874/356,769 = 356,769/x
  3. Step 3: Cross multiply
    229,874x = 356,769 × 356,769
  4. Step 4: Simplify right side
    229,874x = 127,284,119,361
  5. Step 5: Solve for x
    x = 127,284,119,361/229,874
  6. Step 6: Final answer
    x = 553,712.55

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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.