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Finding the Third Proportional to 194,332 and 418,472

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Solution

The third proportional to 194,332 and 418,472 is: 901,132.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,332 : 418,472 = 418,472 : x
  2. Step 2: Convert to fraction form
    194,332/418,472 = 418,472/x
  3. Step 3: Cross multiply
    194,332x = 418,472 × 418,472
  4. Step 4: Simplify right side
    194,332x = 175,118,814,784
  5. Step 5: Solve for x
    x = 175,118,814,784/194,332
  6. Step 6: Final answer
    x = 901,132.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.