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Finding the Third Proportional to 136,338 and 285,202.50

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Solution

The third proportional to 136,338 and 285,202.50 is: 596,608.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,338 : 285,202.50 = 285,202.50 : x
  2. Step 2: Convert to fraction form
    136,338/285,202.50 = 285,202.50/x
  3. Step 3: Cross multiply
    136,338x = 285,202.50 × 285,202.50
  4. Step 4: Simplify right side
    136,338x = 81,340,466,006.25
  5. Step 5: Solve for x
    x = 81,340,466,006.25/136,338
  6. Step 6: Final answer
    x = 596,608.91

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.