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Finding the Third Proportional to 142,446 and 211,473

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Solution

The third proportional to 142,446 and 211,473 is: 313,949.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,446 : 211,473 = 211,473 : x
  2. Step 2: Convert to fraction form
    142,446/211,473 = 211,473/x
  3. Step 3: Cross multiply
    142,446x = 211,473 × 211,473
  4. Step 4: Simplify right side
    142,446x = 44,720,829,729
  5. Step 5: Solve for x
    x = 44,720,829,729/142,446
  6. Step 6: Final answer
    x = 313,949.35

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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.