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Finding the Third Proportional to 70,335 and 143,280

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Solution

The third proportional to 70,335 and 143,280 is: 291,876.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,335 : 143,280 = 143,280 : x
  2. Step 2: Convert to fraction form
    70,335/143,280 = 143,280/x
  3. Step 3: Cross multiply
    70,335x = 143,280 × 143,280
  4. Step 4: Simplify right side
    70,335x = 20,529,158,400
  5. Step 5: Solve for x
    x = 20,529,158,400/70,335
  6. Step 6: Final answer
    x = 291,876.85

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.