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Finding the Third Proportional to 101,682 and 237,532.50

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Solution

The third proportional to 101,682 and 237,532.50 is: 554,883.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,682 : 237,532.50 = 237,532.50 : x
  2. Step 2: Convert to fraction form
    101,682/237,532.50 = 237,532.50/x
  3. Step 3: Cross multiply
    101,682x = 237,532.50 × 237,532.50
  4. Step 4: Simplify right side
    101,682x = 56,421,688,556.25
  5. Step 5: Solve for x
    x = 56,421,688,556.25/101,682
  6. Step 6: Final answer
    x = 554,883.74

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.