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Finding the Third Proportional to 156,836.25 and 333,902.25

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Solution

The third proportional to 156,836.25 and 333,902.25 is: 710,873.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,836.25 : 333,902.25 = 333,902.25 : x
  2. Step 2: Convert to fraction form
    156,836.25/333,902.25 = 333,902.25/x
  3. Step 3: Cross multiply
    156,836.25x = 333,902.25 × 333,902.25
  4. Step 4: Simplify right side
    156,836.25x = 111,490,712,555.06
  5. Step 5: Solve for x
    x = 111,490,712,555.06/156,836.25
  6. Step 6: Final answer
    x = 710,873.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.