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Finding the Third Proportional to 237,876.75 and 347,884.88

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Solution

The third proportional to 237,876.75 and 347,884.88 is: 508,767.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,876.75 : 347,884.88 = 347,884.88 : x
  2. Step 2: Convert to fraction form
    237,876.75/347,884.88 = 347,884.88/x
  3. Step 3: Cross multiply
    237,876.75x = 347,884.88 × 347,884.88
  4. Step 4: Simplify right side
    237,876.75x = 121,023,886,253.77
  5. Step 5: Solve for x
    x = 121,023,886,253.77/237,876.75
  6. Step 6: Final answer
    x = 508,767.19

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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.