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Finding the Third Proportional to 156,988 and 341,336

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Solution

The third proportional to 156,988 and 341,336 is: 742,160.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,988 : 341,336 = 341,336 : x
  2. Step 2: Convert to fraction form
    156,988/341,336 = 341,336/x
  3. Step 3: Cross multiply
    156,988x = 341,336 × 341,336
  4. Step 4: Simplify right side
    156,988x = 116,510,264,896
  5. Step 5: Solve for x
    x = 116,510,264,896/156,988
  6. Step 6: Final answer
    x = 742,160.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.