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Finding the Third Proportional to 229,769 and 344,898

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Solution

The third proportional to 229,769 and 344,898 is: 517,714.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,769 : 344,898 = 344,898 : x
  2. Step 2: Convert to fraction form
    229,769/344,898 = 344,898/x
  3. Step 3: Cross multiply
    229,769x = 344,898 × 344,898
  4. Step 4: Simplify right side
    229,769x = 118,954,630,404
  5. Step 5: Solve for x
    x = 118,954,630,404/229,769
  6. Step 6: Final answer
    x = 517,714.01

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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.