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Finding the Third Proportional to 156,386 and 341,440

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Solution

The third proportional to 156,386 and 341,440 is: 745,471.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,386 : 341,440 = 341,440 : x
  2. Step 2: Convert to fraction form
    156,386/341,440 = 341,440/x
  3. Step 3: Cross multiply
    156,386x = 341,440 × 341,440
  4. Step 4: Simplify right side
    156,386x = 116,581,273,600
  5. Step 5: Solve for x
    x = 116,581,273,600/156,386
  6. Step 6: Final answer
    x = 745,471.29

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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.