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Finding the Third Proportional to 238,106 and 360,231

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Solution

The third proportional to 238,106 and 360,231 is: 544,994.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,106 : 360,231 = 360,231 : x
  2. Step 2: Convert to fraction form
    238,106/360,231 = 360,231/x
  3. Step 3: Cross multiply
    238,106x = 360,231 × 360,231
  4. Step 4: Simplify right side
    238,106x = 129,766,373,361
  5. Step 5: Solve for x
    x = 129,766,373,361/238,106
  6. Step 6: Final answer
    x = 544,994.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.