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Finding the Third Proportional to 154,802 and 236,637

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Solution

The third proportional to 154,802 and 236,637 is: 361,733.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,802 : 236,637 = 236,637 : x
  2. Step 2: Convert to fraction form
    154,802/236,637 = 236,637/x
  3. Step 3: Cross multiply
    154,802x = 236,637 × 236,637
  4. Step 4: Simplify right side
    154,802x = 55,997,069,769
  5. Step 5: Solve for x
    x = 55,997,069,769/154,802
  6. Step 6: Final answer
    x = 361,733.50

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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.