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Finding the Third Proportional to 157,284 and 250,174

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Solution

The third proportional to 157,284 and 250,174 is: 397,923.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,284 : 250,174 = 250,174 : x
  2. Step 2: Convert to fraction form
    157,284/250,174 = 250,174/x
  3. Step 3: Cross multiply
    157,284x = 250,174 × 250,174
  4. Step 4: Simplify right side
    157,284x = 62,587,030,276
  5. Step 5: Solve for x
    x = 62,587,030,276/157,284
  6. Step 6: Final answer
    x = 397,923.69

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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.