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Finding the Third Proportional to 159,705 and 247,243.50

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Solution

The third proportional to 159,705 and 247,243.50 is: 382,764.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,705 : 247,243.50 = 247,243.50 : x
  2. Step 2: Convert to fraction form
    159,705/247,243.50 = 247,243.50/x
  3. Step 3: Cross multiply
    159,705x = 247,243.50 × 247,243.50
  4. Step 4: Simplify right side
    159,705x = 61,129,348,292.25
  5. Step 5: Solve for x
    x = 61,129,348,292.25/159,705
  6. Step 6: Final answer
    x = 382,764.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.