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Finding the Third Proportional to 236,408 and 354,854

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Solution

The third proportional to 236,408 and 354,854 is: 532,644.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,408 : 354,854 = 354,854 : x
  2. Step 2: Convert to fraction form
    236,408/354,854 = 354,854/x
  3. Step 3: Cross multiply
    236,408x = 354,854 × 354,854
  4. Step 4: Simplify right side
    236,408x = 125,921,361,316
  5. Step 5: Solve for x
    x = 125,921,361,316/236,408
  6. Step 6: Final answer
    x = 532,644.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.