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Finding the Third Proportional to 153,642 and 230,467

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Solution

The third proportional to 153,642 and 230,467 is: 345,706.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,642 : 230,467 = 230,467 : x
  2. Step 2: Convert to fraction form
    153,642/230,467 = 230,467/x
  3. Step 3: Cross multiply
    153,642x = 230,467 × 230,467
  4. Step 4: Simplify right side
    153,642x = 53,115,038,089
  5. Step 5: Solve for x
    x = 53,115,038,089/153,642
  6. Step 6: Final answer
    x = 345,706.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.