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Finding the Third Proportional to 179,982 and 273,618

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Solution

The third proportional to 179,982 and 273,618 is: 415,968.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,982 : 273,618 = 273,618 : x
  2. Step 2: Convert to fraction form
    179,982/273,618 = 273,618/x
  3. Step 3: Cross multiply
    179,982x = 273,618 × 273,618
  4. Step 4: Simplify right side
    179,982x = 74,866,809,924
  5. Step 5: Solve for x
    x = 74,866,809,924/179,982
  6. Step 6: Final answer
    x = 415,968.32

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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.