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Finding the Third Proportional to 98,572 and 150,298

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Solution

The third proportional to 98,572 and 150,298 is: 229,167.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,572 : 150,298 = 150,298 : x
  2. Step 2: Convert to fraction form
    98,572/150,298 = 150,298/x
  3. Step 3: Cross multiply
    98,572x = 150,298 × 150,298
  4. Step 4: Simplify right side
    98,572x = 22,589,488,804
  5. Step 5: Solve for x
    x = 22,589,488,804/98,572
  6. Step 6: Final answer
    x = 229,167.40

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.