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Finding the Third Proportional to 233,718 and 366,237

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Solution

The third proportional to 233,718 and 366,237 is: 573,894.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,718 : 366,237 = 366,237 : x
  2. Step 2: Convert to fraction form
    233,718/366,237 = 366,237/x
  3. Step 3: Cross multiply
    233,718x = 366,237 × 366,237
  4. Step 4: Simplify right side
    233,718x = 134,129,540,169
  5. Step 5: Solve for x
    x = 134,129,540,169/233,718
  6. Step 6: Final answer
    x = 573,894.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.