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Finding the Third Proportional to 164,548 and 359,548

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Solution

The third proportional to 164,548 and 359,548 is: 785,635.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,548 : 359,548 = 359,548 : x
  2. Step 2: Convert to fraction form
    164,548/359,548 = 359,548/x
  3. Step 3: Cross multiply
    164,548x = 359,548 × 359,548
  4. Step 4: Simplify right side
    164,548x = 129,274,764,304
  5. Step 5: Solve for x
    x = 129,274,764,304/164,548
  6. Step 6: Final answer
    x = 785,635.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.