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Finding the Third Proportional to 197,490 and 282,213

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Solution

The third proportional to 197,490 and 282,213 is: 403,282.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,490 : 282,213 = 282,213 : x
  2. Step 2: Convert to fraction form
    197,490/282,213 = 282,213/x
  3. Step 3: Cross multiply
    197,490x = 282,213 × 282,213
  4. Step 4: Simplify right side
    197,490x = 79,644,177,369
  5. Step 5: Solve for x
    x = 79,644,177,369/197,490
  6. Step 6: Final answer
    x = 403,282.08

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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.