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Finding the Third Proportional to 142,598 and 309,832

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Solution

The third proportional to 142,598 and 309,832 is: 673,192.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,598 : 309,832 = 309,832 : x
  2. Step 2: Convert to fraction form
    142,598/309,832 = 309,832/x
  3. Step 3: Cross multiply
    142,598x = 309,832 × 309,832
  4. Step 4: Simplify right side
    142,598x = 95,995,868,224
  5. Step 5: Solve for x
    x = 95,995,868,224/142,598
  6. Step 6: Final answer
    x = 673,192.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.