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Finding the Third Proportional to 183,478 and 372,118

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Solution

The third proportional to 183,478 and 372,118 is: 754,705.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,478 : 372,118 = 372,118 : x
  2. Step 2: Convert to fraction form
    183,478/372,118 = 372,118/x
  3. Step 3: Cross multiply
    183,478x = 372,118 × 372,118
  4. Step 4: Simplify right side
    183,478x = 138,471,805,924
  5. Step 5: Solve for x
    x = 138,471,805,924/183,478
  6. Step 6: Final answer
    x = 754,705.23

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.