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Finding the Third Proportional to 105,050 and 226,804

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Solution

The third proportional to 105,050 and 226,804 is: 489,672.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,050 : 226,804 = 226,804 : x
  2. Step 2: Convert to fraction form
    105,050/226,804 = 226,804/x
  3. Step 3: Cross multiply
    105,050x = 226,804 × 226,804
  4. Step 4: Simplify right side
    105,050x = 51,440,054,416
  5. Step 5: Solve for x
    x = 51,440,054,416/105,050
  6. Step 6: Final answer
    x = 489,672.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.