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Finding the Third Proportional to 77,098 and 168,308

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Solution

The third proportional to 77,098 and 168,308 is: 367,423.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,098 : 168,308 = 168,308 : x
  2. Step 2: Convert to fraction form
    77,098/168,308 = 168,308/x
  3. Step 3: Cross multiply
    77,098x = 168,308 × 168,308
  4. Step 4: Simplify right side
    77,098x = 28,327,582,864
  5. Step 5: Solve for x
    x = 28,327,582,864/77,098
  6. Step 6: Final answer
    x = 367,423.06

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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.