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Finding the Third Proportional to 146,264 and 316,516

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Solution

The third proportional to 146,264 and 316,516 is: 684,942.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,264 : 316,516 = 316,516 : x
  2. Step 2: Convert to fraction form
    146,264/316,516 = 316,516/x
  3. Step 3: Cross multiply
    146,264x = 316,516 × 316,516
  4. Step 4: Simplify right side
    146,264x = 100,182,378,256
  5. Step 5: Solve for x
    x = 100,182,378,256/146,264
  6. Step 6: Final answer
    x = 684,942.15

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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.