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Finding the Third Proportional to 242,248 and 371,846.50

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Solution

The third proportional to 242,248 and 371,846.50 is: 570,777.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,248 : 371,846.50 = 371,846.50 : x
  2. Step 2: Convert to fraction form
    242,248/371,846.50 = 371,846.50/x
  3. Step 3: Cross multiply
    242,248x = 371,846.50 × 371,846.50
  4. Step 4: Simplify right side
    242,248x = 138,269,819,562.25
  5. Step 5: Solve for x
    x = 138,269,819,562.25/242,248
  6. Step 6: Final answer
    x = 570,777.96

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.