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Finding the Third Proportional to 152,047.55 and 334,446.05

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Solution

The third proportional to 152,047.55 and 334,446.05 is: 735,652.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,047.55 : 334,446.05 = 334,446.05 : x
  2. Step 2: Convert to fraction form
    152,047.55/334,446.05 = 334,446.05/x
  3. Step 3: Cross multiply
    152,047.55x = 334,446.05 × 334,446.05
  4. Step 4: Simplify right side
    152,047.55x = 111,854,158,270.32
  5. Step 5: Solve for x
    x = 111,854,158,270.32/152,047.55
  6. Step 6: Final answer
    x = 735,652.50

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.