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Finding the Third Proportional to 69,027.19 and 150,341.06

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Solution

The third proportional to 69,027.19 and 150,341.06 is: 327,442.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,027.19 : 150,341.06 = 150,341.06 : x
  2. Step 2: Convert to fraction form
    69,027.19/150,341.06 = 150,341.06/x
  3. Step 3: Cross multiply
    69,027.19x = 150,341.06 × 150,341.06
  4. Step 4: Simplify right side
    69,027.19x = 22,602,435,073.63
  5. Step 5: Solve for x
    x = 22,602,435,073.63/69,027.19
  6. Step 6: Final answer
    x = 327,442.50

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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.