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Finding the Third Proportional to 80,503.88 and 174,848.63

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Solution

The third proportional to 80,503.88 and 174,848.63 is: 379,758.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,503.88 : 174,848.63 = 174,848.63 : x
  2. Step 2: Convert to fraction form
    80,503.88/174,848.63 = 174,848.63/x
  3. Step 3: Cross multiply
    80,503.88x = 174,848.63 × 174,848.63
  4. Step 4: Simplify right side
    80,503.88x = 30,572,041,664.39
  5. Step 5: Solve for x
    x = 30,572,041,664.39/80,503.88
  6. Step 6: Final answer
    x = 379,758.63

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.