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Finding the Third Proportional to 197,550 and 282,294

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Solution

The third proportional to 197,550 and 282,294 is: 403,391.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,550 : 282,294 = 282,294 : x
  2. Step 2: Convert to fraction form
    197,550/282,294 = 282,294/x
  3. Step 3: Cross multiply
    197,550x = 282,294 × 282,294
  4. Step 4: Simplify right side
    197,550x = 79,689,902,436
  5. Step 5: Solve for x
    x = 79,689,902,436/197,550
  6. Step 6: Final answer
    x = 403,391.05

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.