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Finding the Third Proportional to 153,932 and 230,280

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Solution

The third proportional to 153,932 and 230,280 is: 344,495.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,932 : 230,280 = 230,280 : x
  2. Step 2: Convert to fraction form
    153,932/230,280 = 230,280/x
  3. Step 3: Cross multiply
    153,932x = 230,280 × 230,280
  4. Step 4: Simplify right side
    153,932x = 53,028,878,400
  5. Step 5: Solve for x
    x = 53,028,878,400/153,932
  6. Step 6: Final answer
    x = 344,495.48

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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.