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Finding the Third Proportional to 207,434.04 and 320,363.26

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Solution

The third proportional to 207,434.04 and 320,363.26 is: 494,772.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,434.04 : 320,363.26 = 320,363.26 : x
  2. Step 2: Convert to fraction form
    207,434.04/320,363.26 = 320,363.26/x
  3. Step 3: Cross multiply
    207,434.04x = 320,363.26 × 320,363.26
  4. Step 4: Simplify right side
    207,434.04x = 102,632,619,459.08
  5. Step 5: Solve for x
    x = 102,632,619,459.08/207,434.04
  6. Step 6: Final answer
    x = 494,772.31

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.