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Finding the Third Proportional to 152,868 and 231,610.50

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Solution

The third proportional to 152,868 and 231,610.50 is: 350,913.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,868 : 231,610.50 = 231,610.50 : x
  2. Step 2: Convert to fraction form
    152,868/231,610.50 = 231,610.50/x
  3. Step 3: Cross multiply
    152,868x = 231,610.50 × 231,610.50
  4. Step 4: Simplify right side
    152,868x = 53,643,423,710.25
  5. Step 5: Solve for x
    x = 53,643,423,710.25/152,868
  6. Step 6: Final answer
    x = 350,913.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.