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Finding the Third Proportional to 233,629.31 and 366,013.69

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Solution

The third proportional to 233,629.31 and 366,013.69 is: 573,412.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,629.31 : 366,013.69 = 366,013.69 : x
  2. Step 2: Convert to fraction form
    233,629.31/366,013.69 = 366,013.69/x
  3. Step 3: Cross multiply
    233,629.31x = 366,013.69 × 366,013.69
  4. Step 4: Simplify right side
    233,629.31x = 133,966,019,437.35
  5. Step 5: Solve for x
    x = 133,966,019,437.35/233,629.31
  6. Step 6: Final answer
    x = 573,412.72

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.