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Finding the Third Proportional to 269,431.75 and 392,301.25

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Solution

The third proportional to 269,431.75 and 392,301.25 is: 571,203.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,431.75 : 392,301.25 = 392,301.25 : x
  2. Step 2: Convert to fraction form
    269,431.75/392,301.25 = 392,301.25/x
  3. Step 3: Cross multiply
    269,431.75x = 392,301.25 × 392,301.25
  4. Step 4: Simplify right side
    269,431.75x = 153,900,270,751.56
  5. Step 5: Solve for x
    x = 153,900,270,751.56/269,431.75
  6. Step 6: Final answer
    x = 571,203.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.