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Finding the Third Proportional to 157,917 and 236,128.50

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Solution

The third proportional to 157,917 and 236,128.50 is: 353,075.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,917 : 236,128.50 = 236,128.50 : x
  2. Step 2: Convert to fraction form
    157,917/236,128.50 = 236,128.50/x
  3. Step 3: Cross multiply
    157,917x = 236,128.50 × 236,128.50
  4. Step 4: Simplify right side
    157,917x = 55,756,668,512.25
  5. Step 5: Solve for x
    x = 55,756,668,512.25/157,917
  6. Step 6: Final answer
    x = 353,075.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.