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Finding the Third Proportional to 121,330 and 263,618

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Solution

The third proportional to 121,330 and 263,618 is: 572,772.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,330 : 263,618 = 263,618 : x
  2. Step 2: Convert to fraction form
    121,330/263,618 = 263,618/x
  3. Step 3: Cross multiply
    121,330x = 263,618 × 263,618
  4. Step 4: Simplify right side
    121,330x = 69,494,449,924
  5. Step 5: Solve for x
    x = 69,494,449,924/121,330
  6. Step 6: Final answer
    x = 572,772.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.