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Finding the Third Proportional to 146,350 and 304,184

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Solution

The third proportional to 146,350 and 304,184 is: 632,237.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,350 : 304,184 = 304,184 : x
  2. Step 2: Convert to fraction form
    146,350/304,184 = 304,184/x
  3. Step 3: Cross multiply
    146,350x = 304,184 × 304,184
  4. Step 4: Simplify right side
    146,350x = 92,527,905,856
  5. Step 5: Solve for x
    x = 92,527,905,856/146,350
  6. Step 6: Final answer
    x = 632,237.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.