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Finding the Third Proportional to 153,927 and 230,272

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Solution

The third proportional to 153,927 and 230,272 is: 344,482.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,927 : 230,272 = 230,272 : x
  2. Step 2: Convert to fraction form
    153,927/230,272 = 230,272/x
  3. Step 3: Cross multiply
    153,927x = 230,272 × 230,272
  4. Step 4: Simplify right side
    153,927x = 53,025,193,984
  5. Step 5: Solve for x
    x = 53,025,193,984/153,927
  6. Step 6: Final answer
    x = 344,482.74

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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.