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Finding the Third Proportional to 212,068.13 and 278,731.13

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Solution

The third proportional to 212,068.13 and 278,731.13 is: 366,349.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,068.13 : 278,731.13 = 278,731.13 : x
  2. Step 2: Convert to fraction form
    212,068.13/278,731.13 = 278,731.13/x
  3. Step 3: Cross multiply
    212,068.13x = 278,731.13 × 278,731.13
  4. Step 4: Simplify right side
    212,068.13x = 77,691,040,043.77
  5. Step 5: Solve for x
    x = 77,691,040,043.77/212,068.13
  6. Step 6: Final answer
    x = 366,349.45

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.