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Finding the Third Proportional to 183,550 and 258,482

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Solution

The third proportional to 183,550 and 258,482 is: 364,004.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,550 : 258,482 = 258,482 : x
  2. Step 2: Convert to fraction form
    183,550/258,482 = 258,482/x
  3. Step 3: Cross multiply
    183,550x = 258,482 × 258,482
  4. Step 4: Simplify right side
    183,550x = 66,812,944,324
  5. Step 5: Solve for x
    x = 66,812,944,324/183,550
  6. Step 6: Final answer
    x = 364,004.06

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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.