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Finding the Third Proportional to 151,458.75 and 237,613.50

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Solution

The third proportional to 151,458.75 and 237,613.50 is: 372,775.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,458.75 : 237,613.50 = 237,613.50 : x
  2. Step 2: Convert to fraction form
    151,458.75/237,613.50 = 237,613.50/x
  3. Step 3: Cross multiply
    151,458.75x = 237,613.50 × 237,613.50
  4. Step 4: Simplify right side
    151,458.75x = 56,460,175,382.25
  5. Step 5: Solve for x
    x = 56,460,175,382.25/151,458.75
  6. Step 6: Final answer
    x = 372,775.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.