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Finding the Third Proportional to 149,654 and 323,047

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Solution

The third proportional to 149,654 and 323,047 is: 697,337.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,654 : 323,047 = 323,047 : x
  2. Step 2: Convert to fraction form
    149,654/323,047 = 323,047/x
  3. Step 3: Cross multiply
    149,654x = 323,047 × 323,047
  4. Step 4: Simplify right side
    149,654x = 104,359,364,209
  5. Step 5: Solve for x
    x = 104,359,364,209/149,654
  6. Step 6: Final answer
    x = 697,337.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.