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Finding the Third Proportional to 147,936 and 235,648.50

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Solution

The third proportional to 147,936 and 235,648.50 is: 375,366.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,936 : 235,648.50 = 235,648.50 : x
  2. Step 2: Convert to fraction form
    147,936/235,648.50 = 235,648.50/x
  3. Step 3: Cross multiply
    147,936x = 235,648.50 × 235,648.50
  4. Step 4: Simplify right side
    147,936x = 55,530,215,552.25
  5. Step 5: Solve for x
    x = 55,530,215,552.25/147,936
  6. Step 6: Final answer
    x = 375,366.48

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.