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Finding the Third Proportional to 155,820 and 340,458

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Solution

The third proportional to 155,820 and 340,458 is: 743,881.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,820 : 340,458 = 340,458 : x
  2. Step 2: Convert to fraction form
    155,820/340,458 = 340,458/x
  3. Step 3: Cross multiply
    155,820x = 340,458 × 340,458
  4. Step 4: Simplify right side
    155,820x = 115,911,649,764
  5. Step 5: Solve for x
    x = 115,911,649,764/155,820
  6. Step 6: Final answer
    x = 743,881.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.