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Finding the Third Proportional to 151,113.50 and 235,859.50

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Solution

The third proportional to 151,113.50 and 235,859.50 is: 368,131.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,113.50 : 235,859.50 = 235,859.50 : x
  2. Step 2: Convert to fraction form
    151,113.50/235,859.50 = 235,859.50/x
  3. Step 3: Cross multiply
    151,113.50x = 235,859.50 × 235,859.50
  4. Step 4: Simplify right side
    151,113.50x = 55,629,703,740.25
  5. Step 5: Solve for x
    x = 55,629,703,740.25/151,113.50
  6. Step 6: Final answer
    x = 368,131.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.