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Finding the Third Proportional to 134,149.50 and 297,823.50

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Solution

The third proportional to 134,149.50 and 297,823.50 is: 661,193.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,149.50 : 297,823.50 = 297,823.50 : x
  2. Step 2: Convert to fraction form
    134,149.50/297,823.50 = 297,823.50/x
  3. Step 3: Cross multiply
    134,149.50x = 297,823.50 × 297,823.50
  4. Step 4: Simplify right side
    134,149.50x = 88,698,837,152.25
  5. Step 5: Solve for x
    x = 88,698,837,152.25/134,149.50
  6. Step 6: Final answer
    x = 661,193.95

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.