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Finding the Third Proportional to 233,412.75 and 370,533.38

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Solution

The third proportional to 233,412.75 and 370,533.38 is: 588,206.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,412.75 : 370,533.38 = 370,533.38 : x
  2. Step 2: Convert to fraction form
    233,412.75/370,533.38 = 370,533.38/x
  3. Step 3: Cross multiply
    233,412.75x = 370,533.38 × 370,533.38
  4. Step 4: Simplify right side
    233,412.75x = 137,294,981,988.89
  5. Step 5: Solve for x
    x = 137,294,981,988.89/233,412.75
  6. Step 6: Final answer
    x = 588,206.87

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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.