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Finding the Third Proportional to 162,451 and 345,947

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Solution

The third proportional to 162,451 and 345,947 is: 736,710.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,451 : 345,947 = 345,947 : x
  2. Step 2: Convert to fraction form
    162,451/345,947 = 345,947/x
  3. Step 3: Cross multiply
    162,451x = 345,947 × 345,947
  4. Step 4: Simplify right side
    162,451x = 119,679,326,809
  5. Step 5: Solve for x
    x = 119,679,326,809/162,451
  6. Step 6: Final answer
    x = 736,710.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.