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Finding the Third Proportional to 156,700 and 234,460

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Solution

The third proportional to 156,700 and 234,460 is: 350,807.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,700 : 234,460 = 234,460 : x
  2. Step 2: Convert to fraction form
    156,700/234,460 = 234,460/x
  3. Step 3: Cross multiply
    156,700x = 234,460 × 234,460
  4. Step 4: Simplify right side
    156,700x = 54,971,491,600
  5. Step 5: Solve for x
    x = 54,971,491,600/156,700
  6. Step 6: Final answer
    x = 350,807.22

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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.