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Finding the Third Proportional to 155,458.50 and 334,701

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Solution

The third proportional to 155,458.50 and 334,701 is: 720,608.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,458.50 : 334,701 = 334,701 : x
  2. Step 2: Convert to fraction form
    155,458.50/334,701 = 334,701/x
  3. Step 3: Cross multiply
    155,458.50x = 334,701 × 334,701
  4. Step 4: Simplify right side
    155,458.50x = 112,024,759,401
  5. Step 5: Solve for x
    x = 112,024,759,401/155,458.50
  6. Step 6: Final answer
    x = 720,608.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.