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Finding the Third Proportional to 153,576 and 232,004.25

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Solution

The third proportional to 153,576 and 232,004.25 is: 350,484.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,576 : 232,004.25 = 232,004.25 : x
  2. Step 2: Convert to fraction form
    153,576/232,004.25 = 232,004.25/x
  3. Step 3: Cross multiply
    153,576x = 232,004.25 × 232,004.25
  4. Step 4: Simplify right side
    153,576x = 53,825,972,018.06
  5. Step 5: Solve for x
    x = 53,825,972,018.06/153,576
  6. Step 6: Final answer
    x = 350,484.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.