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Finding the Third Proportional to 236,881 and 312,985.50

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Solution

The third proportional to 236,881 and 312,985.50 is: 413,540.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,881 : 312,985.50 = 312,985.50 : x
  2. Step 2: Convert to fraction form
    236,881/312,985.50 = 312,985.50/x
  3. Step 3: Cross multiply
    236,881x = 312,985.50 × 312,985.50
  4. Step 4: Simplify right side
    236,881x = 97,959,923,210.25
  5. Step 5: Solve for x
    x = 97,959,923,210.25/236,881
  6. Step 6: Final answer
    x = 413,540.65

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.