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Finding the Third Proportional to 151,668 and 229,590

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Solution

The third proportional to 151,668 and 229,590 is: 347,545.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,668 : 229,590 = 229,590 : x
  2. Step 2: Convert to fraction form
    151,668/229,590 = 229,590/x
  3. Step 3: Cross multiply
    151,668x = 229,590 × 229,590
  4. Step 4: Simplify right side
    151,668x = 52,711,568,100
  5. Step 5: Solve for x
    x = 52,711,568,100/151,668
  6. Step 6: Final answer
    x = 347,545.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.