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Finding the Third Proportional to 229,106 and 334,587

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Solution

The third proportional to 229,106 and 334,587 is: 488,631.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,106 : 334,587 = 334,587 : x
  2. Step 2: Convert to fraction form
    229,106/334,587 = 334,587/x
  3. Step 3: Cross multiply
    229,106x = 334,587 × 334,587
  4. Step 4: Simplify right side
    229,106x = 111,948,460,569
  5. Step 5: Solve for x
    x = 111,948,460,569/229,106
  6. Step 6: Final answer
    x = 488,631.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.