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Finding the Third Proportional to 175,080 and 384,200

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Solution

The third proportional to 175,080 and 384,200 is: 843,098.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,080 : 384,200 = 384,200 : x
  2. Step 2: Convert to fraction form
    175,080/384,200 = 384,200/x
  3. Step 3: Cross multiply
    175,080x = 384,200 × 384,200
  4. Step 4: Simplify right side
    175,080x = 147,609,640,000
  5. Step 5: Solve for x
    x = 147,609,640,000/175,080
  6. Step 6: Final answer
    x = 843,098.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.