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Finding the Third Proportional to 147,276.25 and 230,391.38

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Solution

The third proportional to 147,276.25 and 230,391.38 is: 360,412.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,276.25 : 230,391.38 = 230,391.38 : x
  2. Step 2: Convert to fraction form
    147,276.25/230,391.38 = 230,391.38/x
  3. Step 3: Cross multiply
    147,276.25x = 230,391.38 × 230,391.38
  4. Step 4: Simplify right side
    147,276.25x = 53,080,185,674.39
  5. Step 5: Solve for x
    x = 53,080,185,674.39/147,276.25
  6. Step 6: Final answer
    x = 360,412.39

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.