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Finding the Third Proportional to 236,482 and 366,340

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Solution

The third proportional to 236,482 and 366,340 is: 567,506.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,482 : 366,340 = 366,340 : x
  2. Step 2: Convert to fraction form
    236,482/366,340 = 366,340/x
  3. Step 3: Cross multiply
    236,482x = 366,340 × 366,340
  4. Step 4: Simplify right side
    236,482x = 134,204,995,600
  5. Step 5: Solve for x
    x = 134,204,995,600/236,482
  6. Step 6: Final answer
    x = 567,506.18

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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.