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Finding the Third Proportional to 144,347 and 207,925

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Solution

The third proportional to 144,347 and 207,925 is: 299,506.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,347 : 207,925 = 207,925 : x
  2. Step 2: Convert to fraction form
    144,347/207,925 = 207,925/x
  3. Step 3: Cross multiply
    144,347x = 207,925 × 207,925
  4. Step 4: Simplify right side
    144,347x = 43,232,805,625
  5. Step 5: Solve for x
    x = 43,232,805,625/144,347
  6. Step 6: Final answer
    x = 299,506.09

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.