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Finding the Third Proportional to 179,960 and 416,618

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Solution

The third proportional to 179,960 and 416,618 is: 964,495.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,960 : 416,618 = 416,618 : x
  2. Step 2: Convert to fraction form
    179,960/416,618 = 416,618/x
  3. Step 3: Cross multiply
    179,960x = 416,618 × 416,618
  4. Step 4: Simplify right side
    179,960x = 173,570,557,924
  5. Step 5: Solve for x
    x = 173,570,557,924/179,960
  6. Step 6: Final answer
    x = 964,495.21

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.