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Finding the Third Proportional to 183,740 and 260,059

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Solution

The third proportional to 183,740 and 260,059 is: 368,078.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,740 : 260,059 = 260,059 : x
  2. Step 2: Convert to fraction form
    183,740/260,059 = 260,059/x
  3. Step 3: Cross multiply
    183,740x = 260,059 × 260,059
  4. Step 4: Simplify right side
    183,740x = 67,630,683,481
  5. Step 5: Solve for x
    x = 67,630,683,481/183,740
  6. Step 6: Final answer
    x = 368,078.17

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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.