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Finding the Third Proportional to 158,828.81 and 232,945.13

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Solution

The third proportional to 158,828.81 and 232,945.13 is: 341,647.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,828.81 : 232,945.13 = 232,945.13 : x
  2. Step 2: Convert to fraction form
    158,828.81/232,945.13 = 232,945.13/x
  3. Step 3: Cross multiply
    158,828.81x = 232,945.13 × 232,945.13
  4. Step 4: Simplify right side
    158,828.81x = 54,263,431,261.27
  5. Step 5: Solve for x
    x = 54,263,431,261.27/158,828.81
  6. Step 6: Final answer
    x = 341,647.28

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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.