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Finding the Third Proportional to 175,085 and 384,459

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Solution

The third proportional to 175,085 and 384,459 is: 844,211.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,085 : 384,459 = 384,459 : x
  2. Step 2: Convert to fraction form
    175,085/384,459 = 384,459/x
  3. Step 3: Cross multiply
    175,085x = 384,459 × 384,459
  4. Step 4: Simplify right side
    175,085x = 147,808,722,681
  5. Step 5: Solve for x
    x = 147,808,722,681/175,085
  6. Step 6: Final answer
    x = 844,211.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.