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Finding the Third Proportional to 233,523 and 361,179

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Solution

The third proportional to 233,523 and 361,179 is: 558,618.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,523 : 361,179 = 361,179 : x
  2. Step 2: Convert to fraction form
    233,523/361,179 = 361,179/x
  3. Step 3: Cross multiply
    233,523x = 361,179 × 361,179
  4. Step 4: Simplify right side
    233,523x = 130,450,270,041
  5. Step 5: Solve for x
    x = 130,450,270,041/233,523
  6. Step 6: Final answer
    x = 558,618.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.