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Finding the Third Proportional to 154,554 and 329,522

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Solution

The third proportional to 154,554 and 329,522 is: 702,568.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,554 : 329,522 = 329,522 : x
  2. Step 2: Convert to fraction form
    154,554/329,522 = 329,522/x
  3. Step 3: Cross multiply
    154,554x = 329,522 × 329,522
  4. Step 4: Simplify right side
    154,554x = 108,584,748,484
  5. Step 5: Solve for x
    x = 108,584,748,484/154,554
  6. Step 6: Final answer
    x = 702,568.35

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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.