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Finding the Third Proportional to 164,207.50 and 352,972

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Solution

The third proportional to 164,207.50 and 352,972 is: 758,730.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,207.50 : 352,972 = 352,972 : x
  2. Step 2: Convert to fraction form
    164,207.50/352,972 = 352,972/x
  3. Step 3: Cross multiply
    164,207.50x = 352,972 × 352,972
  4. Step 4: Simplify right side
    164,207.50x = 124,589,232,784
  5. Step 5: Solve for x
    x = 124,589,232,784/164,207.50
  6. Step 6: Final answer
    x = 758,730.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.