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Finding the Third Proportional to 236,952 and 375,144

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Solution

The third proportional to 236,952 and 375,144 is: 593,930.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,952 : 375,144 = 375,144 : x
  2. Step 2: Convert to fraction form
    236,952/375,144 = 375,144/x
  3. Step 3: Cross multiply
    236,952x = 375,144 × 375,144
  4. Step 4: Simplify right side
    236,952x = 140,733,020,736
  5. Step 5: Solve for x
    x = 140,733,020,736/236,952
  6. Step 6: Final answer
    x = 593,930.50

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.