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Finding the Third Proportional to 142,878 and 210,049

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Solution

The third proportional to 142,878 and 210,049 is: 308,798.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,878 : 210,049 = 210,049 : x
  2. Step 2: Convert to fraction form
    142,878/210,049 = 210,049/x
  3. Step 3: Cross multiply
    142,878x = 210,049 × 210,049
  4. Step 4: Simplify right side
    142,878x = 44,120,582,401
  5. Step 5: Solve for x
    x = 44,120,582,401/142,878
  6. Step 6: Final answer
    x = 308,798.99

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.