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Finding the Third Proportional to 133,812.32 and 288,513.14

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Solution

The third proportional to 133,812.32 and 288,513.14 is: 622,064.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,812.32 : 288,513.14 = 288,513.14 : x
  2. Step 2: Convert to fraction form
    133,812.32/288,513.14 = 288,513.14/x
  3. Step 3: Cross multiply
    133,812.32x = 288,513.14 × 288,513.14
  4. Step 4: Simplify right side
    133,812.32x = 83,239,832,313.30
  5. Step 5: Solve for x
    x = 83,239,832,313.30/133,812.32
  6. Step 6: Final answer
    x = 622,064.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.