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Finding the Third Proportional to 197,399 and 432,283

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Solution

The third proportional to 197,399 and 432,283 is: 946,654.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,399 : 432,283 = 432,283 : x
  2. Step 2: Convert to fraction form
    197,399/432,283 = 432,283/x
  3. Step 3: Cross multiply
    197,399x = 432,283 × 432,283
  4. Step 4: Simplify right side
    197,399x = 186,868,592,089
  5. Step 5: Solve for x
    x = 186,868,592,089/197,399
  6. Step 6: Final answer
    x = 946,654.20

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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.