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Finding the Third Proportional to 132,262.50 and 293,953.50

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Solution

The third proportional to 132,262.50 and 293,953.50 is: 653,311.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,262.50 : 293,953.50 = 293,953.50 : x
  2. Step 2: Convert to fraction form
    132,262.50/293,953.50 = 293,953.50/x
  3. Step 3: Cross multiply
    132,262.50x = 293,953.50 × 293,953.50
  4. Step 4: Simplify right side
    132,262.50x = 86,408,660,162.25
  5. Step 5: Solve for x
    x = 86,408,660,162.25/132,262.50
  6. Step 6: Final answer
    x = 653,311.86

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.