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Finding the Third Proportional to 235,865.25 and 367,807.50

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Solution

The third proportional to 235,865.25 and 367,807.50 is: 573,557.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,865.25 : 367,807.50 = 367,807.50 : x
  2. Step 2: Convert to fraction form
    235,865.25/367,807.50 = 367,807.50/x
  3. Step 3: Cross multiply
    235,865.25x = 367,807.50 × 367,807.50
  4. Step 4: Simplify right side
    235,865.25x = 135,282,357,056.25
  5. Step 5: Solve for x
    x = 135,282,357,056.25/235,865.25
  6. Step 6: Final answer
    x = 573,557.81

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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.