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Finding the Third Proportional to 133,357.50 and 290,680.88

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Solution

The third proportional to 133,357.50 and 290,680.88 is: 633,600.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,357.50 : 290,680.88 = 290,680.88 : x
  2. Step 2: Convert to fraction form
    133,357.50/290,680.88 = 290,680.88/x
  3. Step 3: Cross multiply
    133,357.50x = 290,680.88 × 290,680.88
  4. Step 4: Simplify right side
    133,357.50x = 84,495,371,090.77
  5. Step 5: Solve for x
    x = 84,495,371,090.77/133,357.50
  6. Step 6: Final answer
    x = 633,600.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.