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Finding the Third Proportional to 155,878 and 337,988

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Solution

The third proportional to 155,878 and 337,988 is: 732,854.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,878 : 337,988 = 337,988 : x
  2. Step 2: Convert to fraction form
    155,878/337,988 = 337,988/x
  3. Step 3: Cross multiply
    155,878x = 337,988 × 337,988
  4. Step 4: Simplify right side
    155,878x = 114,235,888,144
  5. Step 5: Solve for x
    x = 114,235,888,144/155,878
  6. Step 6: Final answer
    x = 732,854.46

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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.