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Finding the Third Proportional to 131,685.15 and 289,002.22

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Solution

The third proportional to 131,685.15 and 289,002.22 is: 634,257.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,685.15 : 289,002.22 = 289,002.22 : x
  2. Step 2: Convert to fraction form
    131,685.15/289,002.22 = 289,002.22/x
  3. Step 3: Cross multiply
    131,685.15x = 289,002.22 × 289,002.22
  4. Step 4: Simplify right side
    131,685.15x = 83,522,281,313.51
  5. Step 5: Solve for x
    x = 83,522,281,313.51/131,685.15
  6. Step 6: Final answer
    x = 634,257.39

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.