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Finding the Third Proportional to 163,618 and 223,898

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Solution

The third proportional to 163,618 and 223,898 is: 306,386.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,618 : 223,898 = 223,898 : x
  2. Step 2: Convert to fraction form
    163,618/223,898 = 223,898/x
  3. Step 3: Cross multiply
    163,618x = 223,898 × 223,898
  4. Step 4: Simplify right side
    163,618x = 50,130,314,404
  5. Step 5: Solve for x
    x = 50,130,314,404/163,618
  6. Step 6: Final answer
    x = 306,386.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.