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Finding the Third Proportional to 160,953.75 and 239,527.13

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Solution

The third proportional to 160,953.75 and 239,527.13 is: 356,457.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,953.75 : 239,527.13 = 239,527.13 : x
  2. Step 2: Convert to fraction form
    160,953.75/239,527.13 = 239,527.13/x
  3. Step 3: Cross multiply
    160,953.75x = 239,527.13 × 239,527.13
  4. Step 4: Simplify right side
    160,953.75x = 57,373,243,610.77
  5. Step 5: Solve for x
    x = 57,373,243,610.77/160,953.75
  6. Step 6: Final answer
    x = 356,457.95

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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.