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Finding the Third Proportional to 131,430.09 and 285,003.56

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Solution

The third proportional to 131,430.09 and 285,003.56 is: 618,024.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,430.09 : 285,003.56 = 285,003.56 : x
  2. Step 2: Convert to fraction form
    131,430.09/285,003.56 = 285,003.56/x
  3. Step 3: Cross multiply
    131,430.09x = 285,003.56 × 285,003.56
  4. Step 4: Simplify right side
    131,430.09x = 81,227,030,637.69
  5. Step 5: Solve for x
    x = 81,227,030,637.69/131,430.09
  6. Step 6: Final answer
    x = 618,024.60

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.