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Finding the Third Proportional to 154,806 and 236,643

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Solution

The third proportional to 154,806 and 236,643 is: 361,742.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,806 : 236,643 = 236,643 : x
  2. Step 2: Convert to fraction form
    154,806/236,643 = 236,643/x
  3. Step 3: Cross multiply
    154,806x = 236,643 × 236,643
  4. Step 4: Simplify right side
    154,806x = 55,999,909,449
  5. Step 5: Solve for x
    x = 55,999,909,449/154,806
  6. Step 6: Final answer
    x = 361,742.50

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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.