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Finding the Third Proportional to 111,680 and 243,057

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Solution

The third proportional to 111,680 and 243,057 is: 528,981.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,680 : 243,057 = 243,057 : x
  2. Step 2: Convert to fraction form
    111,680/243,057 = 243,057/x
  3. Step 3: Cross multiply
    111,680x = 243,057 × 243,057
  4. Step 4: Simplify right side
    111,680x = 59,076,705,249
  5. Step 5: Solve for x
    x = 59,076,705,249/111,680
  6. Step 6: Final answer
    x = 528,981.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.