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Finding the Third Proportional to 140,969 and 218,618

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Solution

The third proportional to 140,969 and 218,618 is: 339,037.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,969 : 218,618 = 218,618 : x
  2. Step 2: Convert to fraction form
    140,969/218,618 = 218,618/x
  3. Step 3: Cross multiply
    140,969x = 218,618 × 218,618
  4. Step 4: Simplify right side
    140,969x = 47,793,829,924
  5. Step 5: Solve for x
    x = 47,793,829,924/140,969
  6. Step 6: Final answer
    x = 339,037.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.