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Finding the Third Proportional to 159,559 and 236,257.50

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Solution

The third proportional to 159,559 and 236,257.50 is: 349,824.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,559 : 236,257.50 = 236,257.50 : x
  2. Step 2: Convert to fraction form
    159,559/236,257.50 = 236,257.50/x
  3. Step 3: Cross multiply
    159,559x = 236,257.50 × 236,257.50
  4. Step 4: Simplify right side
    159,559x = 55,817,606,306.25
  5. Step 5: Solve for x
    x = 55,817,606,306.25/159,559
  6. Step 6: Final answer
    x = 349,824.24

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.