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Finding the Third Proportional to 257,984 and 534,196

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Solution

The third proportional to 257,984 and 534,196 is: 1,106,135.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,984 : 534,196 = 534,196 : x
  2. Step 2: Convert to fraction form
    257,984/534,196 = 534,196/x
  3. Step 3: Cross multiply
    257,984x = 534,196 × 534,196
  4. Step 4: Simplify right side
    257,984x = 285,365,366,416
  5. Step 5: Solve for x
    x = 285,365,366,416/257,984
  6. Step 6: Final answer
    x = 1,106,135.91

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.