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Finding the Third Proportional to 105,391 and 225,537

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Solution

The third proportional to 105,391 and 225,537 is: 482,649.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,391 : 225,537 = 225,537 : x
  2. Step 2: Convert to fraction form
    105,391/225,537 = 225,537/x
  3. Step 3: Cross multiply
    105,391x = 225,537 × 225,537
  4. Step 4: Simplify right side
    105,391x = 50,866,938,369
  5. Step 5: Solve for x
    x = 50,866,938,369/105,391
  6. Step 6: Final answer
    x = 482,649.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.