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Finding the Third Proportional to 140,310 and 298,147.50

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Solution

The third proportional to 140,310 and 298,147.50 is: 633,539.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,310 : 298,147.50 = 298,147.50 : x
  2. Step 2: Convert to fraction form
    140,310/298,147.50 = 298,147.50/x
  3. Step 3: Cross multiply
    140,310x = 298,147.50 × 298,147.50
  4. Step 4: Simplify right side
    140,310x = 88,891,931,756.25
  5. Step 5: Solve for x
    x = 88,891,931,756.25/140,310
  6. Step 6: Final answer
    x = 633,539.53

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.