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Finding the Third Proportional to 112,857 and 266,395.50

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Solution

The third proportional to 112,857 and 266,395.50 is: 628,818.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,857 : 266,395.50 = 266,395.50 : x
  2. Step 2: Convert to fraction form
    112,857/266,395.50 = 266,395.50/x
  3. Step 3: Cross multiply
    112,857x = 266,395.50 × 266,395.50
  4. Step 4: Simplify right side
    112,857x = 70,966,562,420.25
  5. Step 5: Solve for x
    x = 70,966,562,420.25/112,857
  6. Step 6: Final answer
    x = 628,818.44

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.