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Finding the Third Proportional to 146,889 and 306,549

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Solution

The third proportional to 146,889 and 306,549 is: 639,750.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,889 : 306,549 = 306,549 : x
  2. Step 2: Convert to fraction form
    146,889/306,549 = 306,549/x
  3. Step 3: Cross multiply
    146,889x = 306,549 × 306,549
  4. Step 4: Simplify right side
    146,889x = 93,972,289,401
  5. Step 5: Solve for x
    x = 93,972,289,401/146,889
  6. Step 6: Final answer
    x = 639,750.35

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.