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Finding the Third Proportional to 173,628 and 262,618

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Solution

The third proportional to 173,628 and 262,618 is: 397,218.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,628 : 262,618 = 262,618 : x
  2. Step 2: Convert to fraction form
    173,628/262,618 = 262,618/x
  3. Step 3: Cross multiply
    173,628x = 262,618 × 262,618
  4. Step 4: Simplify right side
    173,628x = 68,968,213,924
  5. Step 5: Solve for x
    x = 68,968,213,924/173,628
  6. Step 6: Final answer
    x = 397,218.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.