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Finding the Third Proportional to 130,342 and 194,936

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Solution

The third proportional to 130,342 and 194,936 is: 291,541.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,342 : 194,936 = 194,936 : x
  2. Step 2: Convert to fraction form
    130,342/194,936 = 194,936/x
  3. Step 3: Cross multiply
    130,342x = 194,936 × 194,936
  4. Step 4: Simplify right side
    130,342x = 38,000,044,096
  5. Step 5: Solve for x
    x = 38,000,044,096/130,342
  6. Step 6: Final answer
    x = 291,541.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.