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Finding the Third Proportional to 202,084 and 316,998

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Solution

The third proportional to 202,084 and 316,998 is: 497,257.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,084 : 316,998 = 316,998 : x
  2. Step 2: Convert to fraction form
    202,084/316,998 = 316,998/x
  3. Step 3: Cross multiply
    202,084x = 316,998 × 316,998
  4. Step 4: Simplify right side
    202,084x = 100,487,732,004
  5. Step 5: Solve for x
    x = 100,487,732,004/202,084
  6. Step 6: Final answer
    x = 497,257.24

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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.