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Finding the Third Proportional to 158,781 and 252,751.50

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Solution

The third proportional to 158,781 and 252,751.50 is: 402,336.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,781 : 252,751.50 = 252,751.50 : x
  2. Step 2: Convert to fraction form
    158,781/252,751.50 = 252,751.50/x
  3. Step 3: Cross multiply
    158,781x = 252,751.50 × 252,751.50
  4. Step 4: Simplify right side
    158,781x = 63,883,320,752.25
  5. Step 5: Solve for x
    x = 63,883,320,752.25/158,781
  6. Step 6: Final answer
    x = 402,336.05

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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.