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Finding the Third Proportional to 160,420 and 348,552

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Solution

The third proportional to 160,420 and 348,552 is: 757,315.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,420 : 348,552 = 348,552 : x
  2. Step 2: Convert to fraction form
    160,420/348,552 = 348,552/x
  3. Step 3: Cross multiply
    160,420x = 348,552 × 348,552
  4. Step 4: Simplify right side
    160,420x = 121,488,496,704
  5. Step 5: Solve for x
    x = 121,488,496,704/160,420
  6. Step 6: Final answer
    x = 757,315.15

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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.