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Finding the Third Proportional to 154,563 and 329,538

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Solution

The third proportional to 154,563 and 329,538 is: 702,595.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,563 : 329,538 = 329,538 : x
  2. Step 2: Convert to fraction form
    154,563/329,538 = 329,538/x
  3. Step 3: Cross multiply
    154,563x = 329,538 × 329,538
  4. Step 4: Simplify right side
    154,563x = 108,595,293,444
  5. Step 5: Solve for x
    x = 108,595,293,444/154,563
  6. Step 6: Final answer
    x = 702,595.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.