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Finding the Third Proportional to 163,098 and 353,338

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Solution

The third proportional to 163,098 and 353,338 is: 765,476.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,098 : 353,338 = 353,338 : x
  2. Step 2: Convert to fraction form
    163,098/353,338 = 353,338/x
  3. Step 3: Cross multiply
    163,098x = 353,338 × 353,338
  4. Step 4: Simplify right side
    163,098x = 124,847,742,244
  5. Step 5: Solve for x
    x = 124,847,742,244/163,098
  6. Step 6: Final answer
    x = 765,476.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.