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Finding the Third Proportional to 197,367 and 432,294

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Solution

The third proportional to 197,367 and 432,294 is: 946,855.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,367 : 432,294 = 432,294 : x
  2. Step 2: Convert to fraction form
    197,367/432,294 = 432,294/x
  3. Step 3: Cross multiply
    197,367x = 432,294 × 432,294
  4. Step 4: Simplify right side
    197,367x = 186,878,102,436
  5. Step 5: Solve for x
    x = 186,878,102,436/197,367
  6. Step 6: Final answer
    x = 946,855.87

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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.