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Finding the Third Proportional to 156,026.75 and 228,486.50

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Solution

The third proportional to 156,026.75 and 228,486.50 is: 334,596.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,026.75 : 228,486.50 = 228,486.50 : x
  2. Step 2: Convert to fraction form
    156,026.75/228,486.50 = 228,486.50/x
  3. Step 3: Cross multiply
    156,026.75x = 228,486.50 × 228,486.50
  4. Step 4: Simplify right side
    156,026.75x = 52,206,080,682.25
  5. Step 5: Solve for x
    x = 52,206,080,682.25/156,026.75
  6. Step 6: Final answer
    x = 334,596.99

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.