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Finding the Third Proportional to 160,033 and 348,866

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Solution

The third proportional to 160,033 and 348,866 is: 760,514.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,033 : 348,866 = 348,866 : x
  2. Step 2: Convert to fraction form
    160,033/348,866 = 348,866/x
  3. Step 3: Cross multiply
    160,033x = 348,866 × 348,866
  4. Step 4: Simplify right side
    160,033x = 121,707,485,956
  5. Step 5: Solve for x
    x = 121,707,485,956/160,033
  6. Step 6: Final answer
    x = 760,514.93

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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.