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Finding the Third Proportional to 135,699.75 and 289,433.81

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Solution

The third proportional to 135,699.75 and 289,433.81 is: 617,332.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,699.75 : 289,433.81 = 289,433.81 : x
  2. Step 2: Convert to fraction form
    135,699.75/289,433.81 = 289,433.81/x
  3. Step 3: Cross multiply
    135,699.75x = 289,433.81 × 289,433.81
  4. Step 4: Simplify right side
    135,699.75x = 83,771,931,818.29
  5. Step 5: Solve for x
    x = 83,771,931,818.29/135,699.75
  6. Step 6: Final answer
    x = 617,332.99

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