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Finding the Third Proportional to 151,490 and 329,582

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Solution

The third proportional to 151,490 and 329,582 is: 717,039.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,490 : 329,582 = 329,582 : x
  2. Step 2: Convert to fraction form
    151,490/329,582 = 329,582/x
  3. Step 3: Cross multiply
    151,490x = 329,582 × 329,582
  4. Step 4: Simplify right side
    151,490x = 108,624,294,724
  5. Step 5: Solve for x
    x = 108,624,294,724/151,490
  6. Step 6: Final answer
    x = 717,039.37

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.