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Finding the Third Proportional to 183,719 and 260,033

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Solution

The third proportional to 183,719 and 260,033 is: 368,046.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,719 : 260,033 = 260,033 : x
  2. Step 2: Convert to fraction form
    183,719/260,033 = 260,033/x
  3. Step 3: Cross multiply
    183,719x = 260,033 × 260,033
  4. Step 4: Simplify right side
    183,719x = 67,617,161,089
  5. Step 5: Solve for x
    x = 67,617,161,089/183,719
  6. Step 6: Final answer
    x = 368,046.64

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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.