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Finding the Third Proportional to 197,538.75 and 432,712.13

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Solution

The third proportional to 197,538.75 and 432,712.13 is: 947,863.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,538.75 : 432,712.13 = 432,712.13 : x
  2. Step 2: Convert to fraction form
    197,538.75/432,712.13 = 432,712.13/x
  3. Step 3: Cross multiply
    197,538.75x = 432,712.13 × 432,712.13
  4. Step 4: Simplify right side
    197,538.75x = 187,239,783,122.02
  5. Step 5: Solve for x
    x = 187,239,783,122.02/197,538.75
  6. Step 6: Final answer
    x = 947,863.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.