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Finding the Third Proportional to 132,968.81 and 288,091.13

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Solution

The third proportional to 132,968.81 and 288,091.13 is: 624,180.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,968.81 : 288,091.13 = 288,091.13 : x
  2. Step 2: Convert to fraction form
    132,968.81/288,091.13 = 288,091.13/x
  3. Step 3: Cross multiply
    132,968.81x = 288,091.13 × 288,091.13
  4. Step 4: Simplify right side
    132,968.81x = 82,996,496,303.77
  5. Step 5: Solve for x
    x = 82,996,496,303.77/132,968.81
  6. Step 6: Final answer
    x = 624,180.17

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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.