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Finding the Third Proportional to 78,023.25 and 169,330.50

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Solution

The third proportional to 78,023.25 and 169,330.50 is: 367,490.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,023.25 : 169,330.50 = 169,330.50 : x
  2. Step 2: Convert to fraction form
    78,023.25/169,330.50 = 169,330.50/x
  3. Step 3: Cross multiply
    78,023.25x = 169,330.50 × 169,330.50
  4. Step 4: Simplify right side
    78,023.25x = 28,672,818,230.25
  5. Step 5: Solve for x
    x = 28,672,818,230.25/78,023.25
  6. Step 6: Final answer
    x = 367,490.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.