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Finding the Third Proportional to 163,086 and 359,283

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Solution

The third proportional to 163,086 and 359,283 is: 791,510.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,086 : 359,283 = 359,283 : x
  2. Step 2: Convert to fraction form
    163,086/359,283 = 359,283/x
  3. Step 3: Cross multiply
    163,086x = 359,283 × 359,283
  4. Step 4: Simplify right side
    163,086x = 129,084,274,089
  5. Step 5: Solve for x
    x = 129,084,274,089/163,086
  6. Step 6: Final answer
    x = 791,510.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.