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Finding the Third Proportional to 202,175 and 299,320

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Solution

The third proportional to 202,175 and 299,320 is: 443,143.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,175 : 299,320 = 299,320 : x
  2. Step 2: Convert to fraction form
    202,175/299,320 = 299,320/x
  3. Step 3: Cross multiply
    202,175x = 299,320 × 299,320
  4. Step 4: Simplify right side
    202,175x = 89,592,462,400
  5. Step 5: Solve for x
    x = 89,592,462,400/202,175
  6. Step 6: Final answer
    x = 443,143.13

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.