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Finding the Third Proportional to 145,605 and 319,761

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Solution

The third proportional to 145,605 and 319,761 is: 702,222.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,605 : 319,761 = 319,761 : x
  2. Step 2: Convert to fraction form
    145,605/319,761 = 319,761/x
  3. Step 3: Cross multiply
    145,605x = 319,761 × 319,761
  4. Step 4: Simplify right side
    145,605x = 102,247,097,121
  5. Step 5: Solve for x
    x = 102,247,097,121/145,605
  6. Step 6: Final answer
    x = 702,222.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.