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Finding the Third Proportional to 158,096.81 and 232,957.69

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Solution

The third proportional to 158,096.81 and 232,957.69 is: 343,266.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,096.81 : 232,957.69 = 232,957.69 : x
  2. Step 2: Convert to fraction form
    158,096.81/232,957.69 = 232,957.69/x
  3. Step 3: Cross multiply
    158,096.81x = 232,957.69 × 232,957.69
  4. Step 4: Simplify right side
    158,096.81x = 54,269,284,165.35
  5. Step 5: Solve for x
    x = 54,269,284,165.35/158,096.81
  6. Step 6: Final answer
    x = 343,266.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.