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Finding the Third Proportional to 157,288 and 250,184

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Solution

The third proportional to 157,288 and 250,184 is: 397,945.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,288 : 250,184 = 250,184 : x
  2. Step 2: Convert to fraction form
    157,288/250,184 = 250,184/x
  3. Step 3: Cross multiply
    157,288x = 250,184 × 250,184
  4. Step 4: Simplify right side
    157,288x = 62,592,033,856
  5. Step 5: Solve for x
    x = 62,592,033,856/157,288
  6. Step 6: Final answer
    x = 397,945.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.