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Finding the Third Proportional to 176,595.75 and 256,687.88

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Solution

The third proportional to 176,595.75 and 256,687.88 is: 373,104.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,595.75 : 256,687.88 = 256,687.88 : x
  2. Step 2: Convert to fraction form
    176,595.75/256,687.88 = 256,687.88/x
  3. Step 3: Cross multiply
    176,595.75x = 256,687.88 × 256,687.88
  4. Step 4: Simplify right side
    176,595.75x = 65,888,665,172.02
  5. Step 5: Solve for x
    x = 65,888,665,172.02/176,595.75
  6. Step 6: Final answer
    x = 373,104.48

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.