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Finding the Third Proportional to 142,466 and 211,501

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Solution

The third proportional to 142,466 and 211,501 is: 313,988.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,466 : 211,501 = 211,501 : x
  2. Step 2: Convert to fraction form
    142,466/211,501 = 211,501/x
  3. Step 3: Cross multiply
    142,466x = 211,501 × 211,501
  4. Step 4: Simplify right side
    142,466x = 44,732,673,001
  5. Step 5: Solve for x
    x = 44,732,673,001/142,466
  6. Step 6: Final answer
    x = 313,988.41

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.