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Finding the Third Proportional to 162,949.50 and 230,654.25

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Solution

The third proportional to 162,949.50 and 230,654.25 is: 326,490.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,949.50 : 230,654.25 = 230,654.25 : x
  2. Step 2: Convert to fraction form
    162,949.50/230,654.25 = 230,654.25/x
  3. Step 3: Cross multiply
    162,949.50x = 230,654.25 × 230,654.25
  4. Step 4: Simplify right side
    162,949.50x = 53,201,383,043.06
  5. Step 5: Solve for x
    x = 53,201,383,043.06/162,949.50
  6. Step 6: Final answer
    x = 326,490.00

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.