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Finding the Third Proportional to 200,468 and 308,260

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Solution

The third proportional to 200,468 and 308,260 is: 474,011.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,468 : 308,260 = 308,260 : x
  2. Step 2: Convert to fraction form
    200,468/308,260 = 308,260/x
  3. Step 3: Cross multiply
    200,468x = 308,260 × 308,260
  4. Step 4: Simplify right side
    200,468x = 95,024,227,600
  5. Step 5: Solve for x
    x = 95,024,227,600/200,468
  6. Step 6: Final answer
    x = 474,011.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.