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Finding the Third Proportional to 147,592 and 230,604

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Solution

The third proportional to 147,592 and 230,604 is: 360,305.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,592 : 230,604 = 230,604 : x
  2. Step 2: Convert to fraction form
    147,592/230,604 = 230,604/x
  3. Step 3: Cross multiply
    147,592x = 230,604 × 230,604
  4. Step 4: Simplify right side
    147,592x = 53,178,204,816
  5. Step 5: Solve for x
    x = 53,178,204,816/147,592
  6. Step 6: Final answer
    x = 360,305.47

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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.