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Finding the Third Proportional to 233,524 and 362,334

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Solution

The third proportional to 233,524 and 362,334 is: 562,194.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,524 : 362,334 = 362,334 : x
  2. Step 2: Convert to fraction form
    233,524/362,334 = 362,334/x
  3. Step 3: Cross multiply
    233,524x = 362,334 × 362,334
  4. Step 4: Simplify right side
    233,524x = 131,285,927,556
  5. Step 5: Solve for x
    x = 131,285,927,556/233,524
  6. Step 6: Final answer
    x = 562,194.58

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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.