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Finding the Third Proportional to 115,776 and 178,276.50

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Solution

The third proportional to 115,776 and 178,276.50 is: 274,517.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,776 : 178,276.50 = 178,276.50 : x
  2. Step 2: Convert to fraction form
    115,776/178,276.50 = 178,276.50/x
  3. Step 3: Cross multiply
    115,776x = 178,276.50 × 178,276.50
  4. Step 4: Simplify right side
    115,776x = 31,782,510,452.25
  5. Step 5: Solve for x
    x = 31,782,510,452.25/115,776
  6. Step 6: Final answer
    x = 274,517.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.