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Finding the Third Proportional to 151,200.75 and 223,353.75

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Solution

The third proportional to 151,200.75 and 223,353.75 is: 329,938.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,200.75 : 223,353.75 = 223,353.75 : x
  2. Step 2: Convert to fraction form
    151,200.75/223,353.75 = 223,353.75/x
  3. Step 3: Cross multiply
    151,200.75x = 223,353.75 × 223,353.75
  4. Step 4: Simplify right side
    151,200.75x = 49,886,897,639.06
  5. Step 5: Solve for x
    x = 49,886,897,639.06/151,200.75
  6. Step 6: Final answer
    x = 329,938.16

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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.