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Finding the Third Proportional to 134,910 and 296,064

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Solution

The third proportional to 134,910 and 296,064 is: 649,721.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,910 : 296,064 = 296,064 : x
  2. Step 2: Convert to fraction form
    134,910/296,064 = 296,064/x
  3. Step 3: Cross multiply
    134,910x = 296,064 × 296,064
  4. Step 4: Simplify right side
    134,910x = 87,653,892,096
  5. Step 5: Solve for x
    x = 87,653,892,096/134,910
  6. Step 6: Final answer
    x = 649,721.24

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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.