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Finding the Third Proportional to 101,618 and 233,717

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Solution

The third proportional to 101,618 and 233,717 is: 537,538.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,618 : 233,717 = 233,717 : x
  2. Step 2: Convert to fraction form
    101,618/233,717 = 233,717/x
  3. Step 3: Cross multiply
    101,618x = 233,717 × 233,717
  4. Step 4: Simplify right side
    101,618x = 54,623,636,089
  5. Step 5: Solve for x
    x = 54,623,636,089/101,618
  6. Step 6: Final answer
    x = 537,538.98

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.