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Finding the Third Proportional to 104,323 and 225,275.50

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Solution

The third proportional to 104,323 and 225,275.50 is: 486,460.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,323 : 225,275.50 = 225,275.50 : x
  2. Step 2: Convert to fraction form
    104,323/225,275.50 = 225,275.50/x
  3. Step 3: Cross multiply
    104,323x = 225,275.50 × 225,275.50
  4. Step 4: Simplify right side
    104,323x = 50,749,050,900.25
  5. Step 5: Solve for x
    x = 50,749,050,900.25/104,323
  6. Step 6: Final answer
    x = 486,460.81

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.