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Finding the Third Proportional to 230,012 and 316,732

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Solution

The third proportional to 230,012 and 316,732 is: 436,147.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,012 : 316,732 = 316,732 : x
  2. Step 2: Convert to fraction form
    230,012/316,732 = 316,732/x
  3. Step 3: Cross multiply
    230,012x = 316,732 × 316,732
  4. Step 4: Simplify right side
    230,012x = 100,319,159,824
  5. Step 5: Solve for x
    x = 100,319,159,824/230,012
  6. Step 6: Final answer
    x = 436,147.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.