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Finding the Third Proportional to 272,569.50 and 418,378.50

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Solution

The third proportional to 272,569.50 and 418,378.50 is: 642,186.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,569.50 : 418,378.50 = 418,378.50 : x
  2. Step 2: Convert to fraction form
    272,569.50/418,378.50 = 418,378.50/x
  3. Step 3: Cross multiply
    272,569.50x = 418,378.50 × 418,378.50
  4. Step 4: Simplify right side
    272,569.50x = 175,040,569,262.25
  5. Step 5: Solve for x
    x = 175,040,569,262.25/272,569.50
  6. Step 6: Final answer
    x = 642,186.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.