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Finding the Third Proportional to 154,851 and 236,718

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Solution

The third proportional to 154,851 and 236,718 is: 361,866.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,851 : 236,718 = 236,718 : x
  2. Step 2: Convert to fraction form
    154,851/236,718 = 236,718/x
  3. Step 3: Cross multiply
    154,851x = 236,718 × 236,718
  4. Step 4: Simplify right side
    154,851x = 56,035,411,524
  5. Step 5: Solve for x
    x = 56,035,411,524/154,851
  6. Step 6: Final answer
    x = 361,866.64

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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.