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Finding the Third Proportional to 147,861 and 209,220

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Solution

The third proportional to 147,861 and 209,220 is: 296,041.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,861 : 209,220 = 209,220 : x
  2. Step 2: Convert to fraction form
    147,861/209,220 = 209,220/x
  3. Step 3: Cross multiply
    147,861x = 209,220 × 209,220
  4. Step 4: Simplify right side
    147,861x = 43,773,008,400
  5. Step 5: Solve for x
    x = 43,773,008,400/147,861
  6. Step 6: Final answer
    x = 296,041.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.