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Finding the Third Proportional to 70,698 and 153,835

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Solution

The third proportional to 70,698 and 153,835 is: 334,736.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,698 : 153,835 = 153,835 : x
  2. Step 2: Convert to fraction form
    70,698/153,835 = 153,835/x
  3. Step 3: Cross multiply
    70,698x = 153,835 × 153,835
  4. Step 4: Simplify right side
    70,698x = 23,665,207,225
  5. Step 5: Solve for x
    x = 23,665,207,225/70,698
  6. Step 6: Final answer
    x = 334,736.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.