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Finding the Third Proportional to 146,410 and 319,671

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Solution

The third proportional to 146,410 and 319,671 is: 697,968.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,410 : 319,671 = 319,671 : x
  2. Step 2: Convert to fraction form
    146,410/319,671 = 319,671/x
  3. Step 3: Cross multiply
    146,410x = 319,671 × 319,671
  4. Step 4: Simplify right side
    146,410x = 102,189,548,241
  5. Step 5: Solve for x
    x = 102,189,548,241/146,410
  6. Step 6: Final answer
    x = 697,968.36

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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.