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Finding the Third Proportional to 169,609 and 263,752.50

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Solution

The third proportional to 169,609 and 263,752.50 is: 410,151.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,609 : 263,752.50 = 263,752.50 : x
  2. Step 2: Convert to fraction form
    169,609/263,752.50 = 263,752.50/x
  3. Step 3: Cross multiply
    169,609x = 263,752.50 × 263,752.50
  4. Step 4: Simplify right side
    169,609x = 69,565,381,256.25
  5. Step 5: Solve for x
    x = 69,565,381,256.25/169,609
  6. Step 6: Final answer
    x = 410,151.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.