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Finding the Third Proportional to 153,226 and 356,066

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Solution

The third proportional to 153,226 and 356,066 is: 827,424.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,226 : 356,066 = 356,066 : x
  2. Step 2: Convert to fraction form
    153,226/356,066 = 356,066/x
  3. Step 3: Cross multiply
    153,226x = 356,066 × 356,066
  4. Step 4: Simplify right side
    153,226x = 126,782,996,356
  5. Step 5: Solve for x
    x = 126,782,996,356/153,226
  6. Step 6: Final answer
    x = 827,424.83

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.