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Finding the Third Proportional to 133,810.03 and 288,508.78

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Solution

The third proportional to 133,810.03 and 288,508.78 is: 622,055.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,810.03 : 288,508.78 = 288,508.78 : x
  2. Step 2: Convert to fraction form
    133,810.03/288,508.78 = 288,508.78/x
  3. Step 3: Cross multiply
    133,810.03x = 288,508.78 × 288,508.78
  4. Step 4: Simplify right side
    133,810.03x = 83,237,316,858.36
  5. Step 5: Solve for x
    x = 83,237,316,858.36/133,810.03
  6. Step 6: Final answer
    x = 622,055.88

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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.