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Finding the Third Proportional to 133,089.96 and 290,265.40

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Solution

The third proportional to 133,089.96 and 290,265.40 is: 633,060.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,089.96 : 290,265.40 = 290,265.40 : x
  2. Step 2: Convert to fraction form
    133,089.96/290,265.40 = 290,265.40/x
  3. Step 3: Cross multiply
    133,089.96x = 290,265.40 × 290,265.40
  4. Step 4: Simplify right side
    133,089.96x = 84,254,001,530.08
  5. Step 5: Solve for x
    x = 84,254,001,530.08/133,089.96
  6. Step 6: Final answer
    x = 633,060.53

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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.