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Finding the Third Proportional to 167,968 and 254,618

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Solution

The third proportional to 167,968 and 254,618 is: 385,968.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,968 : 254,618 = 254,618 : x
  2. Step 2: Convert to fraction form
    167,968/254,618 = 254,618/x
  3. Step 3: Cross multiply
    167,968x = 254,618 × 254,618
  4. Step 4: Simplify right side
    167,968x = 64,830,325,924
  5. Step 5: Solve for x
    x = 64,830,325,924/167,968
  6. Step 6: Final answer
    x = 385,968.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.