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Finding the Third Proportional to 136,898 and 200,618

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Solution

The third proportional to 136,898 and 200,618 is: 293,996.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,898 : 200,618 = 200,618 : x
  2. Step 2: Convert to fraction form
    136,898/200,618 = 200,618/x
  3. Step 3: Cross multiply
    136,898x = 200,618 × 200,618
  4. Step 4: Simplify right side
    136,898x = 40,247,581,924
  5. Step 5: Solve for x
    x = 40,247,581,924/136,898
  6. Step 6: Final answer
    x = 293,996.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.