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Finding the Third Proportional to 228,906 and 348,043.50

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Solution

The third proportional to 228,906 and 348,043.50 is: 529,187.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,906 : 348,043.50 = 348,043.50 : x
  2. Step 2: Convert to fraction form
    228,906/348,043.50 = 348,043.50/x
  3. Step 3: Cross multiply
    228,906x = 348,043.50 × 348,043.50
  4. Step 4: Simplify right side
    228,906x = 121,134,277,892.25
  5. Step 5: Solve for x
    x = 121,134,277,892.25/228,906
  6. Step 6: Final answer
    x = 529,187.87

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.