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Finding the Third Proportional to 197,347 and 432,252

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Solution

The third proportional to 197,347 and 432,252 is: 946,767.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,347 : 432,252 = 432,252 : x
  2. Step 2: Convert to fraction form
    197,347/432,252 = 432,252/x
  3. Step 3: Cross multiply
    197,347x = 432,252 × 432,252
  4. Step 4: Simplify right side
    197,347x = 186,841,791,504
  5. Step 5: Solve for x
    x = 186,841,791,504/197,347
  6. Step 6: Final answer
    x = 946,767.83

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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.