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Finding the Third Proportional to 146,252 and 316,492

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Solution

The third proportional to 146,252 and 316,492 is: 684,894.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,252 : 316,492 = 316,492 : x
  2. Step 2: Convert to fraction form
    146,252/316,492 = 316,492/x
  3. Step 3: Cross multiply
    146,252x = 316,492 × 316,492
  4. Step 4: Simplify right side
    146,252x = 100,167,186,064
  5. Step 5: Solve for x
    x = 100,167,186,064/146,252
  6. Step 6: Final answer
    x = 684,894.47

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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.