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Finding the Third Proportional to 177,237.50 and 272,426.50

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Solution

The third proportional to 177,237.50 and 272,426.50 is: 418,738.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,237.50 : 272,426.50 = 272,426.50 : x
  2. Step 2: Convert to fraction form
    177,237.50/272,426.50 = 272,426.50/x
  3. Step 3: Cross multiply
    177,237.50x = 272,426.50 × 272,426.50
  4. Step 4: Simplify right side
    177,237.50x = 74,216,197,902.25
  5. Step 5: Solve for x
    x = 74,216,197,902.25/177,237.50
  6. Step 6: Final answer
    x = 418,738.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.