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Finding the Third Proportional to 158,124 and 340,426.50

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Solution

The third proportional to 158,124 and 340,426.50 is: 732,907.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,124 : 340,426.50 = 340,426.50 : x
  2. Step 2: Convert to fraction form
    158,124/340,426.50 = 340,426.50/x
  3. Step 3: Cross multiply
    158,124x = 340,426.50 × 340,426.50
  4. Step 4: Simplify right side
    158,124x = 115,890,201,902.25
  5. Step 5: Solve for x
    x = 115,890,201,902.25/158,124
  6. Step 6: Final answer
    x = 732,907.10

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.