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Finding the Third Proportional to 146,684 and 221,430

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Solution

The third proportional to 146,684 and 221,430 is: 334,264.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,684 : 221,430 = 221,430 : x
  2. Step 2: Convert to fraction form
    146,684/221,430 = 221,430/x
  3. Step 3: Cross multiply
    146,684x = 221,430 × 221,430
  4. Step 4: Simplify right side
    146,684x = 49,031,244,900
  5. Step 5: Solve for x
    x = 49,031,244,900/146,684
  6. Step 6: Final answer
    x = 334,264.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.