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Finding the Third Proportional to 212,694.19 and 319,041.28

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Solution

The third proportional to 212,694.19 and 319,041.28 is: 478,561.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,694.19 : 319,041.28 = 319,041.28 : x
  2. Step 2: Convert to fraction form
    212,694.19/319,041.28 = 319,041.28/x
  3. Step 3: Cross multiply
    212,694.19x = 319,041.28 × 319,041.28
  4. Step 4: Simplify right side
    212,694.19x = 101,787,339,141.64
  5. Step 5: Solve for x
    x = 101,787,339,141.64/212,694.19
  6. Step 6: Final answer
    x = 478,561.92

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