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Finding the Third Proportional to 197,280 and 431,468

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Solution

The third proportional to 197,280 and 431,468 is: 943,656.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,280 : 431,468 = 431,468 : x
  2. Step 2: Convert to fraction form
    197,280/431,468 = 431,468/x
  3. Step 3: Cross multiply
    197,280x = 431,468 × 431,468
  4. Step 4: Simplify right side
    197,280x = 186,164,635,024
  5. Step 5: Solve for x
    x = 186,164,635,024/197,280
  6. Step 6: Final answer
    x = 943,656.91

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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.