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Finding the Third Proportional to 156,362 and 341,395

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Solution

The third proportional to 156,362 and 341,395 is: 745,389.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,362 : 341,395 = 341,395 : x
  2. Step 2: Convert to fraction form
    156,362/341,395 = 341,395/x
  3. Step 3: Cross multiply
    156,362x = 341,395 × 341,395
  4. Step 4: Simplify right side
    156,362x = 116,550,546,025
  5. Step 5: Solve for x
    x = 116,550,546,025/156,362
  6. Step 6: Final answer
    x = 745,389.20

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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.