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Finding the Third Proportional to 183,720 and 260,037

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Solution

The third proportional to 183,720 and 260,037 is: 368,055.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,720 : 260,037 = 260,037 : x
  2. Step 2: Convert to fraction form
    183,720/260,037 = 260,037/x
  3. Step 3: Cross multiply
    183,720x = 260,037 × 260,037
  4. Step 4: Simplify right side
    183,720x = 67,619,241,369
  5. Step 5: Solve for x
    x = 67,619,241,369/183,720
  6. Step 6: Final answer
    x = 368,055.96

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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.