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Finding the Third Proportional to 236,270 and 514,012

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Solution

The third proportional to 236,270 and 514,012 is: 1,118,247.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,270 : 514,012 = 514,012 : x
  2. Step 2: Convert to fraction form
    236,270/514,012 = 514,012/x
  3. Step 3: Cross multiply
    236,270x = 514,012 × 514,012
  4. Step 4: Simplify right side
    236,270x = 264,208,336,144
  5. Step 5: Solve for x
    x = 264,208,336,144/236,270
  6. Step 6: Final answer
    x = 1,118,247.50

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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.