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Finding the Third Proportional to 200,419 and 294,055

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Solution

The third proportional to 200,419 and 294,055 is: 431,437.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,419 : 294,055 = 294,055 : x
  2. Step 2: Convert to fraction form
    200,419/294,055 = 294,055/x
  3. Step 3: Cross multiply
    200,419x = 294,055 × 294,055
  4. Step 4: Simplify right side
    200,419x = 86,468,343,025
  5. Step 5: Solve for x
    x = 86,468,343,025/200,419
  6. Step 6: Final answer
    x = 431,437.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.