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Finding the Third Proportional to 170,464 and 372,032

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Solution

The third proportional to 170,464 and 372,032 is: 811,947.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,464 : 372,032 = 372,032 : x
  2. Step 2: Convert to fraction form
    170,464/372,032 = 372,032/x
  3. Step 3: Cross multiply
    170,464x = 372,032 × 372,032
  4. Step 4: Simplify right side
    170,464x = 138,407,809,024
  5. Step 5: Solve for x
    x = 138,407,809,024/170,464
  6. Step 6: Final answer
    x = 811,947.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.