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Finding the Third Proportional to 163,298 and 356,548

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Solution

The third proportional to 163,298 and 356,548 is: 778,493.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,298 : 356,548 = 356,548 : x
  2. Step 2: Convert to fraction form
    163,298/356,548 = 356,548/x
  3. Step 3: Cross multiply
    163,298x = 356,548 × 356,548
  4. Step 4: Simplify right side
    163,298x = 127,126,476,304
  5. Step 5: Solve for x
    x = 127,126,476,304/163,298
  6. Step 6: Final answer
    x = 778,493.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.