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Finding the Third Proportional to 155,767 and 340,364

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Solution

The third proportional to 155,767 and 340,364 is: 743,723.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,767 : 340,364 = 340,364 : x
  2. Step 2: Convert to fraction form
    155,767/340,364 = 340,364/x
  3. Step 3: Cross multiply
    155,767x = 340,364 × 340,364
  4. Step 4: Simplify right side
    155,767x = 115,847,652,496
  5. Step 5: Solve for x
    x = 115,847,652,496/155,767
  6. Step 6: Final answer
    x = 743,723.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.