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Finding the Third Proportional to 137,172 and 299,288

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Solution

The third proportional to 137,172 and 299,288 is: 652,999.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,172 : 299,288 = 299,288 : x
  2. Step 2: Convert to fraction form
    137,172/299,288 = 299,288/x
  3. Step 3: Cross multiply
    137,172x = 299,288 × 299,288
  4. Step 4: Simplify right side
    137,172x = 89,573,306,944
  5. Step 5: Solve for x
    x = 89,573,306,944/137,172
  6. Step 6: Final answer
    x = 652,999.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.