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Finding the Third Proportional to 128,248.50 and 191,655

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Solution

The third proportional to 128,248.50 and 191,655 is: 286,409.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,248.50 : 191,655 = 191,655 : x
  2. Step 2: Convert to fraction form
    128,248.50/191,655 = 191,655/x
  3. Step 3: Cross multiply
    128,248.50x = 191,655 × 191,655
  4. Step 4: Simplify right side
    128,248.50x = 36,731,639,025
  5. Step 5: Solve for x
    x = 36,731,639,025/128,248.50
  6. Step 6: Final answer
    x = 286,409.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.