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Finding the Third Proportional to 232,823 and 369,282

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Solution

The third proportional to 232,823 and 369,282 is: 585,720.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,823 : 369,282 = 369,282 : x
  2. Step 2: Convert to fraction form
    232,823/369,282 = 369,282/x
  3. Step 3: Cross multiply
    232,823x = 369,282 × 369,282
  4. Step 4: Simplify right side
    232,823x = 136,369,195,524
  5. Step 5: Solve for x
    x = 136,369,195,524/232,823
  6. Step 6: Final answer
    x = 585,720.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.