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Finding the Third Proportional to 166,770 and 370,842

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Solution

The third proportional to 166,770 and 370,842 is: 824,631.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,770 : 370,842 = 370,842 : x
  2. Step 2: Convert to fraction form
    166,770/370,842 = 370,842/x
  3. Step 3: Cross multiply
    166,770x = 370,842 × 370,842
  4. Step 4: Simplify right side
    166,770x = 137,523,788,964
  5. Step 5: Solve for x
    x = 137,523,788,964/166,770
  6. Step 6: Final answer
    x = 824,631.46

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.