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Finding the Third Proportional to 137,142 and 299,916

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Solution

The third proportional to 137,142 and 299,916 is: 655,886.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,142 : 299,916 = 299,916 : x
  2. Step 2: Convert to fraction form
    137,142/299,916 = 299,916/x
  3. Step 3: Cross multiply
    137,142x = 299,916 × 299,916
  4. Step 4: Simplify right side
    137,142x = 89,949,607,056
  5. Step 5: Solve for x
    x = 89,949,607,056/137,142
  6. Step 6: Final answer
    x = 655,886.65

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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.