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Finding the Third Proportional to 176,548.50 and 261,392.25

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Solution

The third proportional to 176,548.50 and 261,392.25 is: 387,009.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,548.50 : 261,392.25 = 261,392.25 : x
  2. Step 2: Convert to fraction form
    176,548.50/261,392.25 = 261,392.25/x
  3. Step 3: Cross multiply
    176,548.50x = 261,392.25 × 261,392.25
  4. Step 4: Simplify right side
    176,548.50x = 68,325,908,360.06
  5. Step 5: Solve for x
    x = 68,325,908,360.06/176,548.50
  6. Step 6: Final answer
    x = 387,009.28

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.