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Finding the Third Proportional to 212,960 and 319,446

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Solution

The third proportional to 212,960 and 319,446 is: 479,178.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,960 : 319,446 = 319,446 : x
  2. Step 2: Convert to fraction form
    212,960/319,446 = 319,446/x
  3. Step 3: Cross multiply
    212,960x = 319,446 × 319,446
  4. Step 4: Simplify right side
    212,960x = 102,045,746,916
  5. Step 5: Solve for x
    x = 102,045,746,916/212,960
  6. Step 6: Final answer
    x = 479,178.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.