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Finding the Third Proportional to 183,467 and 271,798.50

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Solution

The third proportional to 183,467 and 271,798.50 is: 402,657.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,467 : 271,798.50 = 271,798.50 : x
  2. Step 2: Convert to fraction form
    183,467/271,798.50 = 271,798.50/x
  3. Step 3: Cross multiply
    183,467x = 271,798.50 × 271,798.50
  4. Step 4: Simplify right side
    183,467x = 73,874,424,602.25
  5. Step 5: Solve for x
    x = 73,874,424,602.25/183,467
  6. Step 6: Final answer
    x = 402,657.83

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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.