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Finding the Third Proportional to 253,188 and 540,264

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Solution

The third proportional to 253,188 and 540,264 is: 1,152,839.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,188 : 540,264 = 540,264 : x
  2. Step 2: Convert to fraction form
    253,188/540,264 = 540,264/x
  3. Step 3: Cross multiply
    253,188x = 540,264 × 540,264
  4. Step 4: Simplify right side
    253,188x = 291,885,189,696
  5. Step 5: Solve for x
    x = 291,885,189,696/253,188
  6. Step 6: Final answer
    x = 1,152,839.75

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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.