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Finding the Third Proportional to 147,596 and 230,610

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Solution

The third proportional to 147,596 and 230,610 is: 360,314.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,596 : 230,610 = 230,610 : x
  2. Step 2: Convert to fraction form
    147,596/230,610 = 230,610/x
  3. Step 3: Cross multiply
    147,596x = 230,610 × 230,610
  4. Step 4: Simplify right side
    147,596x = 53,180,972,100
  5. Step 5: Solve for x
    x = 53,180,972,100/147,596
  6. Step 6: Final answer
    x = 360,314.45

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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.