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Finding the Third Proportional to 156,573 and 287,995.50

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Solution

The third proportional to 156,573 and 287,995.50 is: 529,729.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,573 : 287,995.50 = 287,995.50 : x
  2. Step 2: Convert to fraction form
    156,573/287,995.50 = 287,995.50/x
  3. Step 3: Cross multiply
    156,573x = 287,995.50 × 287,995.50
  4. Step 4: Simplify right side
    156,573x = 82,941,408,020.25
  5. Step 5: Solve for x
    x = 82,941,408,020.25/156,573
  6. Step 6: Final answer
    x = 529,729.95

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These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.