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Finding the Third Proportional to 203,836.50 and 432,341

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Solution

The third proportional to 203,836.50 and 432,341 is: 917,003.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,836.50 : 432,341 = 432,341 : x
  2. Step 2: Convert to fraction form
    203,836.50/432,341 = 432,341/x
  3. Step 3: Cross multiply
    203,836.50x = 432,341 × 432,341
  4. Step 4: Simplify right side
    203,836.50x = 186,918,740,281
  5. Step 5: Solve for x
    x = 186,918,740,281/203,836.50
  6. Step 6: Final answer
    x = 917,003.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.