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Finding the Third Proportional to 114,930 and 243,774

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Solution

The third proportional to 114,930 and 243,774 is: 517,060.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,930 : 243,774 = 243,774 : x
  2. Step 2: Convert to fraction form
    114,930/243,774 = 243,774/x
  3. Step 3: Cross multiply
    114,930x = 243,774 × 243,774
  4. Step 4: Simplify right side
    114,930x = 59,425,763,076
  5. Step 5: Solve for x
    x = 59,425,763,076/114,930
  6. Step 6: Final answer
    x = 517,060.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.