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Finding the Third Proportional to 253,186 and 540,260

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Solution

The third proportional to 253,186 and 540,260 is: 1,152,831.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,186 : 540,260 = 540,260 : x
  2. Step 2: Convert to fraction form
    253,186/540,260 = 540,260/x
  3. Step 3: Cross multiply
    253,186x = 540,260 × 540,260
  4. Step 4: Simplify right side
    253,186x = 291,880,867,600
  5. Step 5: Solve for x
    x = 291,880,867,600/253,186
  6. Step 6: Final answer
    x = 1,152,831.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.