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Finding the Third Proportional to 202,206 and 317,173.50

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Solution

The third proportional to 202,206 and 317,173.50 is: 497,507.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,206 : 317,173.50 = 317,173.50 : x
  2. Step 2: Convert to fraction form
    202,206/317,173.50 = 317,173.50/x
  3. Step 3: Cross multiply
    202,206x = 317,173.50 × 317,173.50
  4. Step 4: Simplify right side
    202,206x = 100,599,029,102.25
  5. Step 5: Solve for x
    x = 100,599,029,102.25/202,206
  6. Step 6: Final answer
    x = 497,507.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.