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Finding the Third Proportional to 197,239 and 431,792

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Solution

The third proportional to 197,239 and 431,792 is: 945,271.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,239 : 431,792 = 431,792 : x
  2. Step 2: Convert to fraction form
    197,239/431,792 = 431,792/x
  3. Step 3: Cross multiply
    197,239x = 431,792 × 431,792
  4. Step 4: Simplify right side
    197,239x = 186,444,331,264
  5. Step 5: Solve for x
    x = 186,444,331,264/197,239
  6. Step 6: Final answer
    x = 945,271.12

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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.