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Finding the Third Proportional to 150,822 and 316,332

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Solution

The third proportional to 150,822 and 316,332 is: 663,470.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,822 : 316,332 = 316,332 : x
  2. Step 2: Convert to fraction form
    150,822/316,332 = 316,332/x
  3. Step 3: Cross multiply
    150,822x = 316,332 × 316,332
  4. Step 4: Simplify right side
    150,822x = 100,065,934,224
  5. Step 5: Solve for x
    x = 100,065,934,224/150,822
  6. Step 6: Final answer
    x = 663,470.41

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.