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Finding the Third Proportional to 198,085.50 and 412,587

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Solution

The third proportional to 198,085.50 and 412,587 is: 859,366.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,085.50 : 412,587 = 412,587 : x
  2. Step 2: Convert to fraction form
    198,085.50/412,587 = 412,587/x
  3. Step 3: Cross multiply
    198,085.50x = 412,587 × 412,587
  4. Step 4: Simplify right side
    198,085.50x = 170,228,032,569
  5. Step 5: Solve for x
    x = 170,228,032,569/198,085.50
  6. Step 6: Final answer
    x = 859,366.45

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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.