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Finding the Third Proportional to 233,139.94 and 370,728.42

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Solution

The third proportional to 233,139.94 and 370,728.42 is: 589,515.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,139.94 : 370,728.42 = 370,728.42 : x
  2. Step 2: Convert to fraction form
    233,139.94/370,728.42 = 370,728.42/x
  3. Step 3: Cross multiply
    233,139.94x = 370,728.42 × 370,728.42
  4. Step 4: Simplify right side
    233,139.94x = 137,439,562,785.93
  5. Step 5: Solve for x
    x = 137,439,562,785.93/233,139.94
  6. Step 6: Final answer
    x = 589,515.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.