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Finding the Third Proportional to 161,746 and 348,763

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Solution

The third proportional to 161,746 and 348,763 is: 752,016.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,746 : 348,763 = 348,763 : x
  2. Step 2: Convert to fraction form
    161,746/348,763 = 348,763/x
  3. Step 3: Cross multiply
    161,746x = 348,763 × 348,763
  4. Step 4: Simplify right side
    161,746x = 121,635,630,169
  5. Step 5: Solve for x
    x = 121,635,630,169/161,746
  6. Step 6: Final answer
    x = 752,016.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.