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Finding the Third Proportional to 202,092 and 317,046

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Solution

The third proportional to 202,092 and 317,046 is: 497,388.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,092 : 317,046 = 317,046 : x
  2. Step 2: Convert to fraction form
    202,092/317,046 = 317,046/x
  3. Step 3: Cross multiply
    202,092x = 317,046 × 317,046
  4. Step 4: Simplify right side
    202,092x = 100,518,166,116
  5. Step 5: Solve for x
    x = 100,518,166,116/202,092
  6. Step 6: Final answer
    x = 497,388.15

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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.