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Finding the Third Proportional to 134,880.19 and 201,394.69

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Solution

The third proportional to 134,880.19 and 201,394.69 is: 300,709.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,880.19 : 201,394.69 = 201,394.69 : x
  2. Step 2: Convert to fraction form
    134,880.19/201,394.69 = 201,394.69/x
  3. Step 3: Cross multiply
    134,880.19x = 201,394.69 × 201,394.69
  4. Step 4: Simplify right side
    134,880.19x = 40,559,820,153.22
  5. Step 5: Solve for x
    x = 40,559,820,153.22/134,880.19
  6. Step 6: Final answer
    x = 300,709.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.