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Finding the Third Proportional to 97,462 and 212,780

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Solution

The third proportional to 97,462 and 212,780 is: 464,543.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,462 : 212,780 = 212,780 : x
  2. Step 2: Convert to fraction form
    97,462/212,780 = 212,780/x
  3. Step 3: Cross multiply
    97,462x = 212,780 × 212,780
  4. Step 4: Simplify right side
    97,462x = 45,275,328,400
  5. Step 5: Solve for x
    x = 45,275,328,400/97,462
  6. Step 6: Final answer
    x = 464,543.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.