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Finding the Third Proportional to 135,931.50 and 289,973.25

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Solution

The third proportional to 135,931.50 and 289,973.25 is: 618,579.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,931.50 : 289,973.25 = 289,973.25 : x
  2. Step 2: Convert to fraction form
    135,931.50/289,973.25 = 289,973.25/x
  3. Step 3: Cross multiply
    135,931.50x = 289,973.25 × 289,973.25
  4. Step 4: Simplify right side
    135,931.50x = 84,084,485,715.56
  5. Step 5: Solve for x
    x = 84,084,485,715.56/135,931.50
  6. Step 6: Final answer
    x = 618,579.84

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Why These Related Problems?

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