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Finding the Third Proportional to 146,835 and 306,427

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Solution

The third proportional to 146,835 and 306,427 is: 639,476.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,835 : 306,427 = 306,427 : x
  2. Step 2: Convert to fraction form
    146,835/306,427 = 306,427/x
  3. Step 3: Cross multiply
    146,835x = 306,427 × 306,427
  4. Step 4: Simplify right side
    146,835x = 93,897,506,329
  5. Step 5: Solve for x
    x = 93,897,506,329/146,835
  6. Step 6: Final answer
    x = 639,476.33

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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.