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Finding the Third Proportional to 114,234 and 245,972

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Solution

The third proportional to 114,234 and 245,972 is: 529,634.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,234 : 245,972 = 245,972 : x
  2. Step 2: Convert to fraction form
    114,234/245,972 = 245,972/x
  3. Step 3: Cross multiply
    114,234x = 245,972 × 245,972
  4. Step 4: Simplify right side
    114,234x = 60,502,224,784
  5. Step 5: Solve for x
    x = 60,502,224,784/114,234
  6. Step 6: Final answer
    x = 529,634.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.