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Finding the Third Proportional to 81,397.50 and 174,477

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Solution

The third proportional to 81,397.50 and 174,477 is: 373,994.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,397.50 : 174,477 = 174,477 : x
  2. Step 2: Convert to fraction form
    81,397.50/174,477 = 174,477/x
  3. Step 3: Cross multiply
    81,397.50x = 174,477 × 174,477
  4. Step 4: Simplify right side
    81,397.50x = 30,442,223,529
  5. Step 5: Solve for x
    x = 30,442,223,529/81,397.50
  6. Step 6: Final answer
    x = 373,994.58

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.