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Finding the Third Proportional to 176,370.75 and 251,326.13

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Solution

The third proportional to 176,370.75 and 251,326.13 is: 358,136.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,370.75 : 251,326.13 = 251,326.13 : x
  2. Step 2: Convert to fraction form
    176,370.75/251,326.13 = 251,326.13/x
  3. Step 3: Cross multiply
    176,370.75x = 251,326.13 × 251,326.13
  4. Step 4: Simplify right side
    176,370.75x = 63,164,821,107.52
  5. Step 5: Solve for x
    x = 63,164,821,107.52/176,370.75
  6. Step 6: Final answer
    x = 358,136.60

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.