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Finding the Third Proportional to 251,509.25 and 392,572.75

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Solution

The third proportional to 251,509.25 and 392,572.75 is: 612,754.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,509.25 : 392,572.75 = 392,572.75 : x
  2. Step 2: Convert to fraction form
    251,509.25/392,572.75 = 392,572.75/x
  3. Step 3: Cross multiply
    251,509.25x = 392,572.75 × 392,572.75
  4. Step 4: Simplify right side
    251,509.25x = 154,113,364,042.56
  5. Step 5: Solve for x
    x = 154,113,364,042.56/251,509.25
  6. Step 6: Final answer
    x = 612,754.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.