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Finding the Third Proportional to 176,233 and 251,227.50

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Solution

The third proportional to 176,233 and 251,227.50 is: 358,135.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,233 : 251,227.50 = 251,227.50 : x
  2. Step 2: Convert to fraction form
    176,233/251,227.50 = 251,227.50/x
  3. Step 3: Cross multiply
    176,233x = 251,227.50 × 251,227.50
  4. Step 4: Simplify right side
    176,233x = 63,115,256,756.25
  5. Step 5: Solve for x
    x = 63,115,256,756.25/176,233
  6. Step 6: Final answer
    x = 358,135.29

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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.