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Finding the Third Proportional to 156,014 and 319,419

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Solution

The third proportional to 156,014 and 319,419 is: 653,970.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,014 : 319,419 = 319,419 : x
  2. Step 2: Convert to fraction form
    156,014/319,419 = 319,419/x
  3. Step 3: Cross multiply
    156,014x = 319,419 × 319,419
  4. Step 4: Simplify right side
    156,014x = 102,028,497,561
  5. Step 5: Solve for x
    x = 102,028,497,561/156,014
  6. Step 6: Final answer
    x = 653,970.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.