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Finding the Third Proportional to 158,170.50 and 329,465.25

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Solution

The third proportional to 158,170.50 and 329,465.25 is: 686,267.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,170.50 : 329,465.25 = 329,465.25 : x
  2. Step 2: Convert to fraction form
    158,170.50/329,465.25 = 329,465.25/x
  3. Step 3: Cross multiply
    158,170.50x = 329,465.25 × 329,465.25
  4. Step 4: Simplify right side
    158,170.50x = 108,547,350,957.56
  5. Step 5: Solve for x
    x = 108,547,350,957.56/158,170.50
  6. Step 6: Final answer
    x = 686,267.99

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.