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Finding the Third Proportional to 151,431.75 and 237,585

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Solution

The third proportional to 151,431.75 and 237,585 is: 372,752.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,431.75 : 237,585 = 237,585 : x
  2. Step 2: Convert to fraction form
    151,431.75/237,585 = 237,585/x
  3. Step 3: Cross multiply
    151,431.75x = 237,585 × 237,585
  4. Step 4: Simplify right side
    151,431.75x = 56,446,632,225
  5. Step 5: Solve for x
    x = 56,446,632,225/151,431.75
  6. Step 6: Final answer
    x = 372,752.95

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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.