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Finding the Third Proportional to 202,102 and 317,038

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Solution

The third proportional to 202,102 and 317,038 is: 497,338.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,102 : 317,038 = 317,038 : x
  2. Step 2: Convert to fraction form
    202,102/317,038 = 317,038/x
  3. Step 3: Cross multiply
    202,102x = 317,038 × 317,038
  4. Step 4: Simplify right side
    202,102x = 100,513,093,444
  5. Step 5: Solve for x
    x = 100,513,093,444/202,102
  6. Step 6: Final answer
    x = 497,338.44

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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.