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Finding the Third Proportional to 156,080 and 341,896

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Solution

The third proportional to 156,080 and 341,896 is: 748,929.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,080 : 341,896 = 341,896 : x
  2. Step 2: Convert to fraction form
    156,080/341,896 = 341,896/x
  3. Step 3: Cross multiply
    156,080x = 341,896 × 341,896
  4. Step 4: Simplify right side
    156,080x = 116,892,874,816
  5. Step 5: Solve for x
    x = 116,892,874,816/156,080
  6. Step 6: Final answer
    x = 748,929.23

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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.