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Finding the Third Proportional to 176,196.50 and 251,172.75

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Solution

The third proportional to 176,196.50 and 251,172.75 is: 358,053.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,196.50 : 251,172.75 = 251,172.75 : x
  2. Step 2: Convert to fraction form
    176,196.50/251,172.75 = 251,172.75/x
  3. Step 3: Cross multiply
    176,196.50x = 251,172.75 × 251,172.75
  4. Step 4: Simplify right side
    176,196.50x = 63,087,750,342.56
  5. Step 5: Solve for x
    x = 63,087,750,342.56/176,196.50
  6. Step 6: Final answer
    x = 358,053.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.