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Finding the Third Proportional to 229,818 and 356,757

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Solution

The third proportional to 229,818 and 356,757 is: 553,810.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,818 : 356,757 = 356,757 : x
  2. Step 2: Convert to fraction form
    229,818/356,757 = 356,757/x
  3. Step 3: Cross multiply
    229,818x = 356,757 × 356,757
  4. Step 4: Simplify right side
    229,818x = 127,275,557,049
  5. Step 5: Solve for x
    x = 127,275,557,049/229,818
  6. Step 6: Final answer
    x = 553,810.22

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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.