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Finding the Third Proportional to 156,984 and 341,184

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Solution

The third proportional to 156,984 and 341,184 is: 741,518.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,984 : 341,184 = 341,184 : x
  2. Step 2: Convert to fraction form
    156,984/341,184 = 341,184/x
  3. Step 3: Cross multiply
    156,984x = 341,184 × 341,184
  4. Step 4: Simplify right side
    156,984x = 116,406,521,856
  5. Step 5: Solve for x
    x = 116,406,521,856/156,984
  6. Step 6: Final answer
    x = 741,518.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.