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Finding the Third Proportional to 161,511 and 353,787

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Solution

The third proportional to 161,511 and 353,787 is: 774,964.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,511 : 353,787 = 353,787 : x
  2. Step 2: Convert to fraction form
    161,511/353,787 = 353,787/x
  3. Step 3: Cross multiply
    161,511x = 353,787 × 353,787
  4. Step 4: Simplify right side
    161,511x = 125,165,241,369
  5. Step 5: Solve for x
    x = 125,165,241,369/161,511
  6. Step 6: Final answer
    x = 774,964.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.