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Finding the Third Proportional to 122,635 and 264,618

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Solution

The third proportional to 122,635 and 264,618 is: 570,984.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,635 : 264,618 = 264,618 : x
  2. Step 2: Convert to fraction form
    122,635/264,618 = 264,618/x
  3. Step 3: Cross multiply
    122,635x = 264,618 × 264,618
  4. Step 4: Simplify right side
    122,635x = 70,022,685,924
  5. Step 5: Solve for x
    x = 70,022,685,924/122,635
  6. Step 6: Final answer
    x = 570,984.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.