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Finding the Third Proportional to 107,253 and 228,748.50

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Solution

The third proportional to 107,253 and 228,748.50 is: 487,873.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,253 : 228,748.50 = 228,748.50 : x
  2. Step 2: Convert to fraction form
    107,253/228,748.50 = 228,748.50/x
  3. Step 3: Cross multiply
    107,253x = 228,748.50 × 228,748.50
  4. Step 4: Simplify right side
    107,253x = 52,325,876,252.25
  5. Step 5: Solve for x
    x = 52,325,876,252.25/107,253
  6. Step 6: Final answer
    x = 487,873.31

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.