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Finding the Third Proportional to 132,969 and 288,092.25

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Solution

The third proportional to 132,969 and 288,092.25 is: 624,184.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,969 : 288,092.25 = 288,092.25 : x
  2. Step 2: Convert to fraction form
    132,969/288,092.25 = 288,092.25/x
  3. Step 3: Cross multiply
    132,969x = 288,092.25 × 288,092.25
  4. Step 4: Simplify right side
    132,969x = 82,997,144,510.06
  5. Step 5: Solve for x
    x = 82,997,144,510.06/132,969
  6. Step 6: Final answer
    x = 624,184.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.