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Finding the Third Proportional to 183,473 and 258,369

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Solution

The third proportional to 183,473 and 258,369 is: 363,838.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,473 : 258,369 = 258,369 : x
  2. Step 2: Convert to fraction form
    183,473/258,369 = 258,369/x
  3. Step 3: Cross multiply
    183,473x = 258,369 × 258,369
  4. Step 4: Simplify right side
    183,473x = 66,754,540,161
  5. Step 5: Solve for x
    x = 66,754,540,161/183,473
  6. Step 6: Final answer
    x = 363,838.49

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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.