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Finding the Third Proportional to 134,954.44 and 286,513.88

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Solution

The third proportional to 134,954.44 and 286,513.88 is: 608,280.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,954.44 : 286,513.88 = 286,513.88 : x
  2. Step 2: Convert to fraction form
    134,954.44/286,513.88 = 286,513.88/x
  3. Step 3: Cross multiply
    134,954.44x = 286,513.88 × 286,513.88
  4. Step 4: Simplify right side
    134,954.44x = 82,090,200,567.52
  5. Step 5: Solve for x
    x = 82,090,200,567.52/134,954.44
  6. Step 6: Final answer
    x = 608,280.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.