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Finding the Third Proportional to 130,220 and 195,677

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Solution

The third proportional to 130,220 and 195,677 is: 294,036.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,220 : 195,677 = 195,677 : x
  2. Step 2: Convert to fraction form
    130,220/195,677 = 195,677/x
  3. Step 3: Cross multiply
    130,220x = 195,677 × 195,677
  4. Step 4: Simplify right side
    130,220x = 38,289,488,329
  5. Step 5: Solve for x
    x = 38,289,488,329/130,220
  6. Step 6: Final answer
    x = 294,036.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.