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Finding the Third Proportional to 161,720 and 331,440

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Solution

The third proportional to 161,720 and 331,440 is: 679,275.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,720 : 331,440 = 331,440 : x
  2. Step 2: Convert to fraction form
    161,720/331,440 = 331,440/x
  3. Step 3: Cross multiply
    161,720x = 331,440 × 331,440
  4. Step 4: Simplify right side
    161,720x = 109,852,473,600
  5. Step 5: Solve for x
    x = 109,852,473,600/161,720
  6. Step 6: Final answer
    x = 679,275.75

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.