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Finding the Third Proportional to 152,254.50 and 334,884

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Solution

The third proportional to 152,254.50 and 334,884 is: 736,577.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,254.50 : 334,884 = 334,884 : x
  2. Step 2: Convert to fraction form
    152,254.50/334,884 = 334,884/x
  3. Step 3: Cross multiply
    152,254.50x = 334,884 × 334,884
  4. Step 4: Simplify right side
    152,254.50x = 112,147,293,456
  5. Step 5: Solve for x
    x = 112,147,293,456/152,254.50
  6. Step 6: Final answer
    x = 736,577.86

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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.