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Finding the Third Proportional to 272,754 and 366,896.25

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Solution

The third proportional to 272,754 and 366,896.25 is: 493,532.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,754 : 366,896.25 = 366,896.25 : x
  2. Step 2: Convert to fraction form
    272,754/366,896.25 = 366,896.25/x
  3. Step 3: Cross multiply
    272,754x = 366,896.25 × 366,896.25
  4. Step 4: Simplify right side
    272,754x = 134,612,858,264.06
  5. Step 5: Solve for x
    x = 134,612,858,264.06/272,754
  6. Step 6: Final answer
    x = 493,532.11

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.