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Finding the Third Proportional to 153,996 and 230,365

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Solution

The third proportional to 153,996 and 230,365 is: 344,606.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,996 : 230,365 = 230,365 : x
  2. Step 2: Convert to fraction form
    153,996/230,365 = 230,365/x
  3. Step 3: Cross multiply
    153,996x = 230,365 × 230,365
  4. Step 4: Simplify right side
    153,996x = 53,068,033,225
  5. Step 5: Solve for x
    x = 53,068,033,225/153,996
  6. Step 6: Final answer
    x = 344,606.57

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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.