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Finding the Third Proportional to 224,270 and 265,230

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Solution

The third proportional to 224,270 and 265,230 is: 313,670.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,270 : 265,230 = 265,230 : x
  2. Step 2: Convert to fraction form
    224,270/265,230 = 265,230/x
  3. Step 3: Cross multiply
    224,270x = 265,230 × 265,230
  4. Step 4: Simplify right side
    224,270x = 70,346,952,900
  5. Step 5: Solve for x
    x = 70,346,952,900/224,270
  6. Step 6: Final answer
    x = 313,670.81

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.