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Finding the Third Proportional to 146,254 and 316,496

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Solution

The third proportional to 146,254 and 316,496 is: 684,902.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,254 : 316,496 = 316,496 : x
  2. Step 2: Convert to fraction form
    146,254/316,496 = 316,496/x
  3. Step 3: Cross multiply
    146,254x = 316,496 × 316,496
  4. Step 4: Simplify right side
    146,254x = 100,169,718,016
  5. Step 5: Solve for x
    x = 100,169,718,016/146,254
  6. Step 6: Final answer
    x = 684,902.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.