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Finding the Third Proportional to 201,088 and 313,500

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Solution

The third proportional to 201,088 and 313,500 is: 488,752.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,088 : 313,500 = 313,500 : x
  2. Step 2: Convert to fraction form
    201,088/313,500 = 313,500/x
  3. Step 3: Cross multiply
    201,088x = 313,500 × 313,500
  4. Step 4: Simplify right side
    201,088x = 98,282,250,000
  5. Step 5: Solve for x
    x = 98,282,250,000/201,088
  6. Step 6: Final answer
    x = 488,752.44

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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.