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Finding the Third Proportional to 135,904.50 and 207,407.25

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Solution

The third proportional to 135,904.50 and 207,407.25 is: 316,529.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,904.50 : 207,407.25 = 207,407.25 : x
  2. Step 2: Convert to fraction form
    135,904.50/207,407.25 = 207,407.25/x
  3. Step 3: Cross multiply
    135,904.50x = 207,407.25 × 207,407.25
  4. Step 4: Simplify right side
    135,904.50x = 43,017,767,352.56
  5. Step 5: Solve for x
    x = 43,017,767,352.56/135,904.50
  6. Step 6: Final answer
    x = 316,529.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.