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Finding the Third Proportional to 183,553 and 258,487

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Solution

The third proportional to 183,553 and 258,487 is: 364,012.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,553 : 258,487 = 258,487 : x
  2. Step 2: Convert to fraction form
    183,553/258,487 = 258,487/x
  3. Step 3: Cross multiply
    183,553x = 258,487 × 258,487
  4. Step 4: Simplify right side
    183,553x = 66,815,529,169
  5. Step 5: Solve for x
    x = 66,815,529,169/183,553
  6. Step 6: Final answer
    x = 364,012.19

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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.