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Finding the Third Proportional to 133,495.50 and 291,608.25

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Solution

The third proportional to 133,495.50 and 291,608.25 is: 636,990.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,495.50 : 291,608.25 = 291,608.25 : x
  2. Step 2: Convert to fraction form
    133,495.50/291,608.25 = 291,608.25/x
  3. Step 3: Cross multiply
    133,495.50x = 291,608.25 × 291,608.25
  4. Step 4: Simplify right side
    133,495.50x = 85,035,371,468.06
  5. Step 5: Solve for x
    x = 85,035,371,468.06/133,495.50
  6. Step 6: Final answer
    x = 636,990.55

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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.