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Finding the Third Proportional to 156,724.50 and 235,083

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Solution

The third proportional to 156,724.50 and 235,083 is: 352,618.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,724.50 : 235,083 = 235,083 : x
  2. Step 2: Convert to fraction form
    156,724.50/235,083 = 235,083/x
  3. Step 3: Cross multiply
    156,724.50x = 235,083 × 235,083
  4. Step 4: Simplify right side
    156,724.50x = 55,264,016,889
  5. Step 5: Solve for x
    x = 55,264,016,889/156,724.50
  6. Step 6: Final answer
    x = 352,618.88

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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.