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Finding the Third Proportional to 156,967 and 234,823.50

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Solution

The third proportional to 156,967 and 234,823.50 is: 351,297.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,967 : 234,823.50 = 234,823.50 : x
  2. Step 2: Convert to fraction form
    156,967/234,823.50 = 234,823.50/x
  3. Step 3: Cross multiply
    156,967x = 234,823.50 × 234,823.50
  4. Step 4: Simplify right side
    156,967x = 55,142,076,152.25
  5. Step 5: Solve for x
    x = 55,142,076,152.25/156,967
  6. Step 6: Final answer
    x = 351,297.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.