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Finding the Third Proportional to 150,712.50 and 235,177.50

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Solution

The third proportional to 150,712.50 and 235,177.50 is: 366,979.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,712.50 : 235,177.50 = 235,177.50 : x
  2. Step 2: Convert to fraction form
    150,712.50/235,177.50 = 235,177.50/x
  3. Step 3: Cross multiply
    150,712.50x = 235,177.50 × 235,177.50
  4. Step 4: Simplify right side
    150,712.50x = 55,308,456,506.25
  5. Step 5: Solve for x
    x = 55,308,456,506.25/150,712.50
  6. Step 6: Final answer
    x = 366,979.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.