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Finding the Third Proportional to 154,811.25 and 229,346

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Solution

The third proportional to 154,811.25 and 229,346 is: 339,765.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,811.25 : 229,346 = 229,346 : x
  2. Step 2: Convert to fraction form
    154,811.25/229,346 = 229,346/x
  3. Step 3: Cross multiply
    154,811.25x = 229,346 × 229,346
  4. Step 4: Simplify right side
    154,811.25x = 52,599,587,716
  5. Step 5: Solve for x
    x = 52,599,587,716/154,811.25
  6. Step 6: Final answer
    x = 339,765.93

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.