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Finding the Third Proportional to 229,944 and 309,006

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Solution

The third proportional to 229,944 and 309,006 is: 415,252.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,944 : 309,006 = 309,006 : x
  2. Step 2: Convert to fraction form
    229,944/309,006 = 309,006/x
  3. Step 3: Cross multiply
    229,944x = 309,006 × 309,006
  4. Step 4: Simplify right side
    229,944x = 95,484,708,036
  5. Step 5: Solve for x
    x = 95,484,708,036/229,944
  6. Step 6: Final answer
    x = 415,252.01

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.