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Finding the Third Proportional to 182,320 and 399,200

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Solution

The third proportional to 182,320 and 399,200 is: 874,071.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,320 : 399,200 = 399,200 : x
  2. Step 2: Convert to fraction form
    182,320/399,200 = 399,200/x
  3. Step 3: Cross multiply
    182,320x = 399,200 × 399,200
  4. Step 4: Simplify right side
    182,320x = 159,360,640,000
  5. Step 5: Solve for x
    x = 159,360,640,000/182,320
  6. Step 6: Final answer
    x = 874,071.08

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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.