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Finding the Third Proportional to 140,136 and 327,804

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Solution

The third proportional to 140,136 and 327,804 is: 766,794.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,136 : 327,804 = 327,804 : x
  2. Step 2: Convert to fraction form
    140,136/327,804 = 327,804/x
  3. Step 3: Cross multiply
    140,136x = 327,804 × 327,804
  4. Step 4: Simplify right side
    140,136x = 107,455,462,416
  5. Step 5: Solve for x
    x = 107,455,462,416/140,136
  6. Step 6: Final answer
    x = 766,794.13

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.