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Finding the Third Proportional to 233,082 and 500,148

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Solution

The third proportional to 233,082 and 500,148 is: 1,073,218.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,082 : 500,148 = 500,148 : x
  2. Step 2: Convert to fraction form
    233,082/500,148 = 500,148/x
  3. Step 3: Cross multiply
    233,082x = 500,148 × 500,148
  4. Step 4: Simplify right side
    233,082x = 250,148,021,904
  5. Step 5: Solve for x
    x = 250,148,021,904/233,082
  6. Step 6: Final answer
    x = 1,073,218.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.