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Finding the Third Proportional to 183,727 and 260,042

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Solution

The third proportional to 183,727 and 260,042 is: 368,056.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,727 : 260,042 = 260,042 : x
  2. Step 2: Convert to fraction form
    183,727/260,042 = 260,042/x
  3. Step 3: Cross multiply
    183,727x = 260,042 × 260,042
  4. Step 4: Simplify right side
    183,727x = 67,621,841,764
  5. Step 5: Solve for x
    x = 67,621,841,764/183,727
  6. Step 6: Final answer
    x = 368,056.09

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.