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Finding the Third Proportional to 202,084 and 317,033

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Solution

The third proportional to 202,084 and 317,033 is: 497,367.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,084 : 317,033 = 317,033 : x
  2. Step 2: Convert to fraction form
    202,084/317,033 = 317,033/x
  3. Step 3: Cross multiply
    202,084x = 317,033 × 317,033
  4. Step 4: Simplify right side
    202,084x = 100,509,923,089
  5. Step 5: Solve for x
    x = 100,509,923,089/202,084
  6. Step 6: Final answer
    x = 497,367.05

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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.