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Finding the Third Proportional to 233,187.75 and 510,102

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Solution

The third proportional to 233,187.75 and 510,102 is: 1,115,856.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,187.75 : 510,102 = 510,102 : x
  2. Step 2: Convert to fraction form
    233,187.75/510,102 = 510,102/x
  3. Step 3: Cross multiply
    233,187.75x = 510,102 × 510,102
  4. Step 4: Simplify right side
    233,187.75x = 260,204,050,404
  5. Step 5: Solve for x
    x = 260,204,050,404/233,187.75
  6. Step 6: Final answer
    x = 1,115,856.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.