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Finding the Third Proportional to 207,901.69 and 352,517.06

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Solution

The third proportional to 207,901.69 and 352,517.06 is: 597,726.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,901.69 : 352,517.06 = 352,517.06 : x
  2. Step 2: Convert to fraction form
    207,901.69/352,517.06 = 352,517.06/x
  3. Step 3: Cross multiply
    207,901.69x = 352,517.06 × 352,517.06
  4. Step 4: Simplify right side
    207,901.69x = 124,268,279,353.63
  5. Step 5: Solve for x
    x = 124,268,279,353.63/207,901.69
  6. Step 6: Final answer
    x = 597,726.17

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.