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Finding the Third Proportional to 156,970 and 341,964

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Solution

The third proportional to 156,970 and 341,964 is: 744,979.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,970 : 341,964 = 341,964 : x
  2. Step 2: Convert to fraction form
    156,970/341,964 = 341,964/x
  3. Step 3: Cross multiply
    156,970x = 341,964 × 341,964
  4. Step 4: Simplify right side
    156,970x = 116,939,377,296
  5. Step 5: Solve for x
    x = 116,939,377,296/156,970
  6. Step 6: Final answer
    x = 744,979.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.