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Finding the Third Proportional to 201,875 and 313,473.50

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Solution

The third proportional to 201,875 and 313,473.50 is: 486,764.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,875 : 313,473.50 = 313,473.50 : x
  2. Step 2: Convert to fraction form
    201,875/313,473.50 = 313,473.50/x
  3. Step 3: Cross multiply
    201,875x = 313,473.50 × 313,473.50
  4. Step 4: Simplify right side
    201,875x = 98,265,635,202.25
  5. Step 5: Solve for x
    x = 98,265,635,202.25/201,875
  6. Step 6: Final answer
    x = 486,764.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.