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Finding the Third Proportional to 199,808 and 309,362

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Solution

The third proportional to 199,808 and 309,362 is: 478,984.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,808 : 309,362 = 309,362 : x
  2. Step 2: Convert to fraction form
    199,808/309,362 = 309,362/x
  3. Step 3: Cross multiply
    199,808x = 309,362 × 309,362
  4. Step 4: Simplify right side
    199,808x = 95,704,847,044
  5. Step 5: Solve for x
    x = 95,704,847,044/199,808
  6. Step 6: Final answer
    x = 478,984.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.