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Finding the Third Proportional to 158,253.75 and 233,158.50

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Solution

The third proportional to 158,253.75 and 233,158.50 is: 343,517.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,253.75 : 233,158.50 = 233,158.50 : x
  2. Step 2: Convert to fraction form
    158,253.75/233,158.50 = 233,158.50/x
  3. Step 3: Cross multiply
    158,253.75x = 233,158.50 × 233,158.50
  4. Step 4: Simplify right side
    158,253.75x = 54,362,886,122.25
  5. Step 5: Solve for x
    x = 54,362,886,122.25/158,253.75
  6. Step 6: Final answer
    x = 343,517.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.