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Finding the Third Proportional to 146,537 and 319,320

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Solution

The third proportional to 146,537 and 319,320 is: 695,832.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,537 : 319,320 = 319,320 : x
  2. Step 2: Convert to fraction form
    146,537/319,320 = 319,320/x
  3. Step 3: Cross multiply
    146,537x = 319,320 × 319,320
  4. Step 4: Simplify right side
    146,537x = 101,965,262,400
  5. Step 5: Solve for x
    x = 101,965,262,400/146,537
  6. Step 6: Final answer
    x = 695,832.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.