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Finding the Third Proportional to 146,538 and 319,319

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Solution

The third proportional to 146,538 and 319,319 is: 695,823.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,538 : 319,319 = 319,319 : x
  2. Step 2: Convert to fraction form
    146,538/319,319 = 319,319/x
  3. Step 3: Cross multiply
    146,538x = 319,319 × 319,319
  4. Step 4: Simplify right side
    146,538x = 101,964,623,761
  5. Step 5: Solve for x
    x = 101,964,623,761/146,538
  6. Step 6: Final answer
    x = 695,823.77

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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.