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Finding the Third Proportional to 237,346 and 356,066

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Solution

The third proportional to 237,346 and 356,066 is: 534,169.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,346 : 356,066 = 356,066 : x
  2. Step 2: Convert to fraction form
    237,346/356,066 = 356,066/x
  3. Step 3: Cross multiply
    237,346x = 356,066 × 356,066
  4. Step 4: Simplify right side
    237,346x = 126,782,996,356
  5. Step 5: Solve for x
    x = 126,782,996,356/237,346
  6. Step 6: Final answer
    x = 534,169.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.