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Finding the Third Proportional to 80,303 and 169,648

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Solution

The third proportional to 80,303 and 169,648 is: 358,398.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,303 : 169,648 = 169,648 : x
  2. Step 2: Convert to fraction form
    80,303/169,648 = 169,648/x
  3. Step 3: Cross multiply
    80,303x = 169,648 × 169,648
  4. Step 4: Simplify right side
    80,303x = 28,780,443,904
  5. Step 5: Solve for x
    x = 28,780,443,904/80,303
  6. Step 6: Final answer
    x = 358,398.12

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.