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Finding the Third Proportional to 175,423.50 and 273,403.13

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Solution

The third proportional to 175,423.50 and 273,403.13 is: 426,107.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,423.50 : 273,403.13 = 273,403.13 : x
  2. Step 2: Convert to fraction form
    175,423.50/273,403.13 = 273,403.13/x
  3. Step 3: Cross multiply
    175,423.50x = 273,403.13 × 273,403.13
  4. Step 4: Simplify right side
    175,423.50x = 74,749,268,759.77
  5. Step 5: Solve for x
    x = 74,749,268,759.77/175,423.50
  6. Step 6: Final answer
    x = 426,107.50

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.