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Finding the Third Proportional to 266,168 and 400,332

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Solution

The third proportional to 266,168 and 400,332 is: 602,122.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,168 : 400,332 = 400,332 : x
  2. Step 2: Convert to fraction form
    266,168/400,332 = 400,332/x
  3. Step 3: Cross multiply
    266,168x = 400,332 × 400,332
  4. Step 4: Simplify right side
    266,168x = 160,265,710,224
  5. Step 5: Solve for x
    x = 160,265,710,224/266,168
  6. Step 6: Final answer
    x = 602,122.38

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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.