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Finding the Third Proportional to 176,601.75 and 382,570.50

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Solution

The third proportional to 176,601.75 and 382,570.50 is: 828,758.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,601.75 : 382,570.50 = 382,570.50 : x
  2. Step 2: Convert to fraction form
    176,601.75/382,570.50 = 382,570.50/x
  3. Step 3: Cross multiply
    176,601.75x = 382,570.50 × 382,570.50
  4. Step 4: Simplify right side
    176,601.75x = 146,360,187,470.25
  5. Step 5: Solve for x
    x = 146,360,187,470.25/176,601.75
  6. Step 6: Final answer
    x = 828,758.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.