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Finding the Third Proportional to 103,977 and 242,878.50

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Solution

The third proportional to 103,977 and 242,878.50 is: 567,336.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,977 : 242,878.50 = 242,878.50 : x
  2. Step 2: Convert to fraction form
    103,977/242,878.50 = 242,878.50/x
  3. Step 3: Cross multiply
    103,977x = 242,878.50 × 242,878.50
  4. Step 4: Simplify right side
    103,977x = 58,989,965,762.25
  5. Step 5: Solve for x
    x = 58,989,965,762.25/103,977
  6. Step 6: Final answer
    x = 567,336.68

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.