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Finding the Third Proportional to 230,408 and 366,348

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Solution

The third proportional to 230,408 and 366,348 is: 582,492.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,408 : 366,348 = 366,348 : x
  2. Step 2: Convert to fraction form
    230,408/366,348 = 366,348/x
  3. Step 3: Cross multiply
    230,408x = 366,348 × 366,348
  4. Step 4: Simplify right side
    230,408x = 134,210,857,104
  5. Step 5: Solve for x
    x = 134,210,857,104/230,408
  6. Step 6: Final answer
    x = 582,492.18

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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.