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Finding the Third Proportional to 154,845 and 236,709

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Solution

The third proportional to 154,845 and 236,709 is: 361,853.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,845 : 236,709 = 236,709 : x
  2. Step 2: Convert to fraction form
    154,845/236,709 = 236,709/x
  3. Step 3: Cross multiply
    154,845x = 236,709 × 236,709
  4. Step 4: Simplify right side
    154,845x = 56,031,150,681
  5. Step 5: Solve for x
    x = 56,031,150,681/154,845
  6. Step 6: Final answer
    x = 361,853.15

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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.