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Finding the Third Proportional to 103,618 and 225,974

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Solution

The third proportional to 103,618 and 225,974 is: 492,812.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,618 : 225,974 = 225,974 : x
  2. Step 2: Convert to fraction form
    103,618/225,974 = 225,974/x
  3. Step 3: Cross multiply
    103,618x = 225,974 × 225,974
  4. Step 4: Simplify right side
    103,618x = 51,064,248,676
  5. Step 5: Solve for x
    x = 51,064,248,676/103,618
  6. Step 6: Final answer
    x = 492,812.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.