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Finding the Third Proportional to 162,741 and 351,804

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Solution

The third proportional to 162,741 and 351,804 is: 760,509.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,741 : 351,804 = 351,804 : x
  2. Step 2: Convert to fraction form
    162,741/351,804 = 351,804/x
  3. Step 3: Cross multiply
    162,741x = 351,804 × 351,804
  4. Step 4: Simplify right side
    162,741x = 123,766,054,416
  5. Step 5: Solve for x
    x = 123,766,054,416/162,741
  6. Step 6: Final answer
    x = 760,509.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.