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Finding the Third Proportional to 236,732 and 319,946

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Solution

The third proportional to 236,732 and 319,946 is: 432,410.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,732 : 319,946 = 319,946 : x
  2. Step 2: Convert to fraction form
    236,732/319,946 = 319,946/x
  3. Step 3: Cross multiply
    236,732x = 319,946 × 319,946
  4. Step 4: Simplify right side
    236,732x = 102,365,442,916
  5. Step 5: Solve for x
    x = 102,365,442,916/236,732
  6. Step 6: Final answer
    x = 432,410.67

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.