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Finding the Third Proportional to 156,088 and 341,908

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Solution

The third proportional to 156,088 and 341,908 is: 748,943.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,088 : 341,908 = 341,908 : x
  2. Step 2: Convert to fraction form
    156,088/341,908 = 341,908/x
  3. Step 3: Cross multiply
    156,088x = 341,908 × 341,908
  4. Step 4: Simplify right side
    156,088x = 116,901,080,464
  5. Step 5: Solve for x
    x = 116,901,080,464/156,088
  6. Step 6: Final answer
    x = 748,943.42

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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.