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Finding the Third Proportional to 170,122.50 and 371,331

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Solution

The third proportional to 170,122.50 and 371,331 is: 810,514.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,122.50 : 371,331 = 371,331 : x
  2. Step 2: Convert to fraction form
    170,122.50/371,331 = 371,331/x
  3. Step 3: Cross multiply
    170,122.50x = 371,331 × 371,331
  4. Step 4: Simplify right side
    170,122.50x = 137,886,711,561
  5. Step 5: Solve for x
    x = 137,886,711,561/170,122.50
  6. Step 6: Final answer
    x = 810,514.26

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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.