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Finding the Third Proportional to 187,411.50 and 274,090.50

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Solution

The third proportional to 187,411.50 and 274,090.50 is: 400,859.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,411.50 : 274,090.50 = 274,090.50 : x
  2. Step 2: Convert to fraction form
    187,411.50/274,090.50 = 274,090.50/x
  3. Step 3: Cross multiply
    187,411.50x = 274,090.50 × 274,090.50
  4. Step 4: Simplify right side
    187,411.50x = 75,125,602,190.25
  5. Step 5: Solve for x
    x = 75,125,602,190.25/187,411.50
  6. Step 6: Final answer
    x = 400,859.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.