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Finding the Third Proportional to 152,682.50 and 325,652.50

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Solution

The third proportional to 152,682.50 and 325,652.50 is: 694,575.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,682.50 : 325,652.50 = 325,652.50 : x
  2. Step 2: Convert to fraction form
    152,682.50/325,652.50 = 325,652.50/x
  3. Step 3: Cross multiply
    152,682.50x = 325,652.50 × 325,652.50
  4. Step 4: Simplify right side
    152,682.50x = 106,049,550,756.25
  5. Step 5: Solve for x
    x = 106,049,550,756.25/152,682.50
  6. Step 6: Final answer
    x = 694,575.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.