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Finding the Third Proportional to 169,717.50 and 359,118

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Solution

The third proportional to 169,717.50 and 359,118 is: 759,884.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,717.50 : 359,118 = 359,118 : x
  2. Step 2: Convert to fraction form
    169,717.50/359,118 = 359,118/x
  3. Step 3: Cross multiply
    169,717.50x = 359,118 × 359,118
  4. Step 4: Simplify right side
    169,717.50x = 128,965,737,924
  5. Step 5: Solve for x
    x = 128,965,737,924/169,717.50
  6. Step 6: Final answer
    x = 759,884.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.