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Finding the Third Proportional to 183,715 and 260,029

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Solution

The third proportional to 183,715 and 260,029 is: 368,043.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,715 : 260,029 = 260,029 : x
  2. Step 2: Convert to fraction form
    183,715/260,029 = 260,029/x
  3. Step 3: Cross multiply
    183,715x = 260,029 × 260,029
  4. Step 4: Simplify right side
    183,715x = 67,615,080,841
  5. Step 5: Solve for x
    x = 67,615,080,841/183,715
  6. Step 6: Final answer
    x = 368,043.33

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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.