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Finding the Third Proportional to 159,657 and 239,508.50

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Solution

The third proportional to 159,657 and 239,508.50 is: 359,297.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,657 : 239,508.50 = 239,508.50 : x
  2. Step 2: Convert to fraction form
    159,657/239,508.50 = 239,508.50/x
  3. Step 3: Cross multiply
    159,657x = 239,508.50 × 239,508.50
  4. Step 4: Simplify right side
    159,657x = 57,364,321,572.25
  5. Step 5: Solve for x
    x = 57,364,321,572.25/159,657
  6. Step 6: Final answer
    x = 359,297.25

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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.