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Finding the Third Proportional to 183,516 and 258,424

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Solution

The third proportional to 183,516 and 258,424 is: 363,908.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,516 : 258,424 = 258,424 : x
  2. Step 2: Convert to fraction form
    183,516/258,424 = 258,424/x
  3. Step 3: Cross multiply
    183,516x = 258,424 × 258,424
  4. Step 4: Simplify right side
    183,516x = 66,782,963,776
  5. Step 5: Solve for x
    x = 66,782,963,776/183,516
  6. Step 6: Final answer
    x = 363,908.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.