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Finding the Third Proportional to 134,292.94 and 289,605.38

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Solution

The third proportional to 134,292.94 and 289,605.38 is: 624,539.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,292.94 : 289,605.38 = 289,605.38 : x
  2. Step 2: Convert to fraction form
    134,292.94/289,605.38 = 289,605.38/x
  3. Step 3: Cross multiply
    134,292.94x = 289,605.38 × 289,605.38
  4. Step 4: Simplify right side
    134,292.94x = 83,871,273,228.89
  5. Step 5: Solve for x
    x = 83,871,273,228.89/134,292.94
  6. Step 6: Final answer
    x = 624,539.72

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Why These Related Problems?

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