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Finding the Third Proportional to 236,432 and 361,718

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Solution

The third proportional to 236,432 and 361,718 is: 553,393.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,432 : 361,718 = 361,718 : x
  2. Step 2: Convert to fraction form
    236,432/361,718 = 361,718/x
  3. Step 3: Cross multiply
    236,432x = 361,718 × 361,718
  4. Step 4: Simplify right side
    236,432x = 130,839,911,524
  5. Step 5: Solve for x
    x = 130,839,911,524/236,432
  6. Step 6: Final answer
    x = 553,393.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.