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Finding the Third Proportional to 253,250 and 535,108

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Solution

The third proportional to 253,250 and 535,108 is: 1,130,663.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,250 : 535,108 = 535,108 : x
  2. Step 2: Convert to fraction form
    253,250/535,108 = 535,108/x
  3. Step 3: Cross multiply
    253,250x = 535,108 × 535,108
  4. Step 4: Simplify right side
    253,250x = 286,340,571,664
  5. Step 5: Solve for x
    x = 286,340,571,664/253,250
  6. Step 6: Final answer
    x = 1,130,663.66

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.