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Finding the Third Proportional to 142,296 and 310,350

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Solution

The third proportional to 142,296 and 310,350 is: 676,878.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,296 : 310,350 = 310,350 : x
  2. Step 2: Convert to fraction form
    142,296/310,350 = 310,350/x
  3. Step 3: Cross multiply
    142,296x = 310,350 × 310,350
  4. Step 4: Simplify right side
    142,296x = 96,317,122,500
  5. Step 5: Solve for x
    x = 96,317,122,500/142,296
  6. Step 6: Final answer
    x = 676,878.64

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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.