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Finding the Third Proportional to 183,708 and 260,019

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Solution

The third proportional to 183,708 and 260,019 is: 368,029.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,708 : 260,019 = 260,019 : x
  2. Step 2: Convert to fraction form
    183,708/260,019 = 260,019/x
  3. Step 3: Cross multiply
    183,708x = 260,019 × 260,019
  4. Step 4: Simplify right side
    183,708x = 67,609,880,361
  5. Step 5: Solve for x
    x = 67,609,880,361/183,708
  6. Step 6: Final answer
    x = 368,029.05

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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.