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Finding the Third Proportional to 124,618 and 264,815

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Solution

The third proportional to 124,618 and 264,815 is: 562,735.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,618 : 264,815 = 264,815 : x
  2. Step 2: Convert to fraction form
    124,618/264,815 = 264,815/x
  3. Step 3: Cross multiply
    124,618x = 264,815 × 264,815
  4. Step 4: Simplify right side
    124,618x = 70,126,984,225
  5. Step 5: Solve for x
    x = 70,126,984,225/124,618
  6. Step 6: Final answer
    x = 562,735.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.