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Finding the Third Proportional to 137,136 and 299,904

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Solution

The third proportional to 137,136 and 299,904 is: 655,862.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,136 : 299,904 = 299,904 : x
  2. Step 2: Convert to fraction form
    137,136/299,904 = 299,904/x
  3. Step 3: Cross multiply
    137,136x = 299,904 × 299,904
  4. Step 4: Simplify right side
    137,136x = 89,942,409,216
  5. Step 5: Solve for x
    x = 89,942,409,216/137,136
  6. Step 6: Final answer
    x = 655,862.86

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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.