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Finding the Third Proportional to 147,246.38 and 233,535.38

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Solution

The third proportional to 147,246.38 and 233,535.38 is: 370,391.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,246.38 : 233,535.38 = 233,535.38 : x
  2. Step 2: Convert to fraction form
    147,246.38/233,535.38 = 233,535.38/x
  3. Step 3: Cross multiply
    147,246.38x = 233,535.38 × 233,535.38
  4. Step 4: Simplify right side
    147,246.38x = 54,538,771,376.39
  5. Step 5: Solve for x
    x = 54,538,771,376.39/147,246.38
  6. Step 6: Final answer
    x = 370,391.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.