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Finding the Third Proportional to 163,998 and 215,338.50

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Solution

The third proportional to 163,998 and 215,338.50 is: 282,751.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,998 : 215,338.50 = 215,338.50 : x
  2. Step 2: Convert to fraction form
    163,998/215,338.50 = 215,338.50/x
  3. Step 3: Cross multiply
    163,998x = 215,338.50 × 215,338.50
  4. Step 4: Simplify right side
    163,998x = 46,370,669,582.25
  5. Step 5: Solve for x
    x = 46,370,669,582.25/163,998
  6. Step 6: Final answer
    x = 282,751.43

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.