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Finding the Third Proportional to 145,222 and 312,694

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Solution

The third proportional to 145,222 and 312,694 is: 673,297.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,222 : 312,694 = 312,694 : x
  2. Step 2: Convert to fraction form
    145,222/312,694 = 312,694/x
  3. Step 3: Cross multiply
    145,222x = 312,694 × 312,694
  4. Step 4: Simplify right side
    145,222x = 97,777,537,636
  5. Step 5: Solve for x
    x = 97,777,537,636/145,222
  6. Step 6: Final answer
    x = 673,297.00

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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.