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Finding the Third Proportional to 145,957 and 313,741

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Solution

The third proportional to 145,957 and 313,741 is: 674,400.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,957 : 313,741 = 313,741 : x
  2. Step 2: Convert to fraction form
    145,957/313,741 = 313,741/x
  3. Step 3: Cross multiply
    145,957x = 313,741 × 313,741
  4. Step 4: Simplify right side
    145,957x = 98,433,415,081
  5. Step 5: Solve for x
    x = 98,433,415,081/145,957
  6. Step 6: Final answer
    x = 674,400.10

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.