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Finding the Third Proportional to 161,417.25 and 329,395.50

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Solution

The third proportional to 161,417.25 and 329,395.50 is: 672,179.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,417.25 : 329,395.50 = 329,395.50 : x
  2. Step 2: Convert to fraction form
    161,417.25/329,395.50 = 329,395.50/x
  3. Step 3: Cross multiply
    161,417.25x = 329,395.50 × 329,395.50
  4. Step 4: Simplify right side
    161,417.25x = 108,501,395,420.25
  5. Step 5: Solve for x
    x = 108,501,395,420.25/161,417.25
  6. Step 6: Final answer
    x = 672,179.68

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.