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Finding the Third Proportional to 182,840.63 and 242,670.94

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Solution

The third proportional to 182,840.63 and 242,670.94 is: 322,079.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,840.63 : 242,670.94 = 242,670.94 : x
  2. Step 2: Convert to fraction form
    182,840.63/242,670.94 = 242,670.94/x
  3. Step 3: Cross multiply
    182,840.63x = 242,670.94 × 242,670.94
  4. Step 4: Simplify right side
    182,840.63x = 58,889,183,907.13
  5. Step 5: Solve for x
    x = 58,889,183,907.13/182,840.63
  6. Step 6: Final answer
    x = 322,079.32

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.