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Finding the Third Proportional to 174,603 and 266,956.50

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Solution

The third proportional to 174,603 and 266,956.50 is: 408,158.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,603 : 266,956.50 = 266,956.50 : x
  2. Step 2: Convert to fraction form
    174,603/266,956.50 = 266,956.50/x
  3. Step 3: Cross multiply
    174,603x = 266,956.50 × 266,956.50
  4. Step 4: Simplify right side
    174,603x = 71,265,772,892.25
  5. Step 5: Solve for x
    x = 71,265,772,892.25/174,603
  6. Step 6: Final answer
    x = 408,158.93

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.