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Finding the Third Proportional to 155,641 and 351,698.50

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Solution

The third proportional to 155,641 and 351,698.50 is: 794,725.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,641 : 351,698.50 = 351,698.50 : x
  2. Step 2: Convert to fraction form
    155,641/351,698.50 = 351,698.50/x
  3. Step 3: Cross multiply
    155,641x = 351,698.50 × 351,698.50
  4. Step 4: Simplify right side
    155,641x = 123,691,834,902.25
  5. Step 5: Solve for x
    x = 123,691,834,902.25/155,641
  6. Step 6: Final answer
    x = 794,725.26

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.