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Finding the Third Proportional to 74,456.50 and 160,576.25

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Solution

The third proportional to 74,456.50 and 160,576.25 is: 346,305.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,456.50 : 160,576.25 = 160,576.25 : x
  2. Step 2: Convert to fraction form
    74,456.50/160,576.25 = 160,576.25/x
  3. Step 3: Cross multiply
    74,456.50x = 160,576.25 × 160,576.25
  4. Step 4: Simplify right side
    74,456.50x = 25,784,732,064.06
  5. Step 5: Solve for x
    x = 25,784,732,064.06/74,456.50
  6. Step 6: Final answer
    x = 346,305.99

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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.