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Finding the Third Proportional to 161,699 and 333,770

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Solution

The third proportional to 161,699 and 333,770 is: 688,949.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,699 : 333,770 = 333,770 : x
  2. Step 2: Convert to fraction form
    161,699/333,770 = 333,770/x
  3. Step 3: Cross multiply
    161,699x = 333,770 × 333,770
  4. Step 4: Simplify right side
    161,699x = 111,402,412,900
  5. Step 5: Solve for x
    x = 111,402,412,900/161,699
  6. Step 6: Final answer
    x = 688,949.30

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.