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Finding the Third Proportional to 153,516.94 and 232,660.69

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Solution

The third proportional to 153,516.94 and 232,660.69 is: 352,606.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,516.94 : 232,660.69 = 232,660.69 : x
  2. Step 2: Convert to fraction form
    153,516.94/232,660.69 = 232,660.69/x
  3. Step 3: Cross multiply
    153,516.94x = 232,660.69 × 232,660.69
  4. Step 4: Simplify right side
    153,516.94x = 54,130,995,507.97
  5. Step 5: Solve for x
    x = 54,130,995,507.97/153,516.94
  6. Step 6: Final answer
    x = 352,606.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.