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Finding the Third Proportional to 98,271 and 230,998.50

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Solution

The third proportional to 98,271 and 230,998.50 is: 542,991.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,271 : 230,998.50 = 230,998.50 : x
  2. Step 2: Convert to fraction form
    98,271/230,998.50 = 230,998.50/x
  3. Step 3: Cross multiply
    98,271x = 230,998.50 × 230,998.50
  4. Step 4: Simplify right side
    98,271x = 53,360,307,002.25
  5. Step 5: Solve for x
    x = 53,360,307,002.25/98,271
  6. Step 6: Final answer
    x = 542,991.39

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.