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Finding the Third Proportional to 70,840 and 155,280

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Solution

The third proportional to 70,840 and 155,280 is: 340,370.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,840 : 155,280 = 155,280 : x
  2. Step 2: Convert to fraction form
    70,840/155,280 = 155,280/x
  3. Step 3: Cross multiply
    70,840x = 155,280 × 155,280
  4. Step 4: Simplify right side
    70,840x = 24,111,878,400
  5. Step 5: Solve for x
    x = 24,111,878,400/70,840
  6. Step 6: Final answer
    x = 340,370.95

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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.