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Finding the Third Proportional to 141,152 and 302,770

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Solution

The third proportional to 141,152 and 302,770 is: 649,439.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,152 : 302,770 = 302,770 : x
  2. Step 2: Convert to fraction form
    141,152/302,770 = 302,770/x
  3. Step 3: Cross multiply
    141,152x = 302,770 × 302,770
  4. Step 4: Simplify right side
    141,152x = 91,669,672,900
  5. Step 5: Solve for x
    x = 91,669,672,900/141,152
  6. Step 6: Final answer
    x = 649,439.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.