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Finding the Third Proportional to 133,961.25 and 288,956.06

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Solution

The third proportional to 133,961.25 and 288,956.06 is: 623,281.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,961.25 : 288,956.06 = 288,956.06 : x
  2. Step 2: Convert to fraction form
    133,961.25/288,956.06 = 288,956.06/x
  3. Step 3: Cross multiply
    133,961.25x = 288,956.06 × 288,956.06
  4. Step 4: Simplify right side
    133,961.25x = 83,495,606,055.50
  5. Step 5: Solve for x
    x = 83,495,606,055.50/133,961.25
  6. Step 6: Final answer
    x = 623,281.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.