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Finding the Third Proportional to 200,066 and 306,762

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Solution

The third proportional to 200,066 and 306,762 is: 470,359.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,066 : 306,762 = 306,762 : x
  2. Step 2: Convert to fraction form
    200,066/306,762 = 306,762/x
  3. Step 3: Cross multiply
    200,066x = 306,762 × 306,762
  4. Step 4: Simplify right side
    200,066x = 94,102,924,644
  5. Step 5: Solve for x
    x = 94,102,924,644/200,066
  6. Step 6: Final answer
    x = 470,359.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.