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Finding the Third Proportional to 170,107.50 and 369,771

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Solution

The third proportional to 170,107.50 and 369,771 is: 803,789.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,107.50 : 369,771 = 369,771 : x
  2. Step 2: Convert to fraction form
    170,107.50/369,771 = 369,771/x
  3. Step 3: Cross multiply
    170,107.50x = 369,771 × 369,771
  4. Step 4: Simplify right side
    170,107.50x = 136,730,592,441
  5. Step 5: Solve for x
    x = 136,730,592,441/170,107.50
  6. Step 6: Final answer
    x = 803,789.32

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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.