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Finding the Third Proportional to 237,249 and 279,076.50

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Solution

The third proportional to 237,249 and 279,076.50 is: 328,278.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,249 : 279,076.50 = 279,076.50 : x
  2. Step 2: Convert to fraction form
    237,249/279,076.50 = 279,076.50/x
  3. Step 3: Cross multiply
    237,249x = 279,076.50 × 279,076.50
  4. Step 4: Simplify right side
    237,249x = 77,883,692,852.25
  5. Step 5: Solve for x
    x = 77,883,692,852.25/237,249
  6. Step 6: Final answer
    x = 328,278.28

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.