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Finding the Third Proportional to 77,788 and 170,644

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Solution

The third proportional to 77,788 and 170,644 is: 374,342.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,788 : 170,644 = 170,644 : x
  2. Step 2: Convert to fraction form
    77,788/170,644 = 170,644/x
  3. Step 3: Cross multiply
    77,788x = 170,644 × 170,644
  4. Step 4: Simplify right side
    77,788x = 29,119,374,736
  5. Step 5: Solve for x
    x = 29,119,374,736/77,788
  6. Step 6: Final answer
    x = 374,342.76

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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.