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Finding the Third Proportional to 156,309 and 241,888.50

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Solution

The third proportional to 156,309 and 241,888.50 is: 374,322.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,309 : 241,888.50 = 241,888.50 : x
  2. Step 2: Convert to fraction form
    156,309/241,888.50 = 241,888.50/x
  3. Step 3: Cross multiply
    156,309x = 241,888.50 × 241,888.50
  4. Step 4: Simplify right side
    156,309x = 58,510,046,432.25
  5. Step 5: Solve for x
    x = 58,510,046,432.25/156,309
  6. Step 6: Final answer
    x = 374,322.95

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.