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Finding the Third Proportional to 156,969 and 348,808.50

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Solution

The third proportional to 156,969 and 348,808.50 is: 775,104.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,969 : 348,808.50 = 348,808.50 : x
  2. Step 2: Convert to fraction form
    156,969/348,808.50 = 348,808.50/x
  3. Step 3: Cross multiply
    156,969x = 348,808.50 × 348,808.50
  4. Step 4: Simplify right side
    156,969x = 121,667,369,672.25
  5. Step 5: Solve for x
    x = 121,667,369,672.25/156,969
  6. Step 6: Final answer
    x = 775,104.45

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.