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Finding the Third Proportional to 183,858 and 260,169

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Solution

The third proportional to 183,858 and 260,169 is: 368,153.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,858 : 260,169 = 260,169 : x
  2. Step 2: Convert to fraction form
    183,858/260,169 = 260,169/x
  3. Step 3: Cross multiply
    183,858x = 260,169 × 260,169
  4. Step 4: Simplify right side
    183,858x = 67,687,908,561
  5. Step 5: Solve for x
    x = 67,687,908,561/183,858
  6. Step 6: Final answer
    x = 368,153.19

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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.