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Finding the Third Proportional to 242,571 and 368,752.50

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Solution

The third proportional to 242,571 and 368,752.50 is: 560,571.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,571 : 368,752.50 = 368,752.50 : x
  2. Step 2: Convert to fraction form
    242,571/368,752.50 = 368,752.50/x
  3. Step 3: Cross multiply
    242,571x = 368,752.50 × 368,752.50
  4. Step 4: Simplify right side
    242,571x = 135,978,406,256.25
  5. Step 5: Solve for x
    x = 135,978,406,256.25/242,571
  6. Step 6: Final answer
    x = 560,571.57

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.