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Finding the Third Proportional to 229,866 and 356,828

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Solution

The third proportional to 229,866 and 356,828 is: 553,914.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,866 : 356,828 = 356,828 : x
  2. Step 2: Convert to fraction form
    229,866/356,828 = 356,828/x
  3. Step 3: Cross multiply
    229,866x = 356,828 × 356,828
  4. Step 4: Simplify right side
    229,866x = 127,326,221,584
  5. Step 5: Solve for x
    x = 127,326,221,584/229,866
  6. Step 6: Final answer
    x = 553,914.98

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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.