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Finding the Third Proportional to 253,998 and 348,301.50

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Solution

The third proportional to 253,998 and 348,301.50 is: 477,617.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,998 : 348,301.50 = 348,301.50 : x
  2. Step 2: Convert to fraction form
    253,998/348,301.50 = 348,301.50/x
  3. Step 3: Cross multiply
    253,998x = 348,301.50 × 348,301.50
  4. Step 4: Simplify right side
    253,998x = 121,313,934,902.25
  5. Step 5: Solve for x
    x = 121,313,934,902.25/253,998
  6. Step 6: Final answer
    x = 477,617.68

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.