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Finding the Third Proportional to 111,893 and 243,461.50

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Solution

The third proportional to 111,893 and 243,461.50 is: 529,733.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,893 : 243,461.50 = 243,461.50 : x
  2. Step 2: Convert to fraction form
    111,893/243,461.50 = 243,461.50/x
  3. Step 3: Cross multiply
    111,893x = 243,461.50 × 243,461.50
  4. Step 4: Simplify right side
    111,893x = 59,273,501,982.25
  5. Step 5: Solve for x
    x = 59,273,501,982.25/111,893
  6. Step 6: Final answer
    x = 529,733.78

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.