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Finding the Third Proportional to 164,982 and 359,582

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Solution

The third proportional to 164,982 and 359,582 is: 783,717.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,982 : 359,582 = 359,582 : x
  2. Step 2: Convert to fraction form
    164,982/359,582 = 359,582/x
  3. Step 3: Cross multiply
    164,982x = 359,582 × 359,582
  4. Step 4: Simplify right side
    164,982x = 129,299,214,724
  5. Step 5: Solve for x
    x = 129,299,214,724/164,982
  6. Step 6: Final answer
    x = 783,717.10

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Why These Related Problems?

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