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Finding the Third Proportional to 176,586.75 and 256,674.38

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Solution

The third proportional to 176,586.75 and 256,674.38 is: 373,084.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,586.75 : 256,674.38 = 256,674.38 : x
  2. Step 2: Convert to fraction form
    176,586.75/256,674.38 = 256,674.38/x
  3. Step 3: Cross multiply
    176,586.75x = 256,674.38 × 256,674.38
  4. Step 4: Simplify right side
    176,586.75x = 65,881,734,781.64
  5. Step 5: Solve for x
    x = 65,881,734,781.64/176,586.75
  6. Step 6: Final answer
    x = 373,084.25

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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.