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Finding the Third Proportional to 164,322 and 215,784

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Solution

The third proportional to 164,322 and 215,784 is: 283,362.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,322 : 215,784 = 215,784 : x
  2. Step 2: Convert to fraction form
    164,322/215,784 = 215,784/x
  3. Step 3: Cross multiply
    164,322x = 215,784 × 215,784
  4. Step 4: Simplify right side
    164,322x = 46,562,734,656
  5. Step 5: Solve for x
    x = 46,562,734,656/164,322
  6. Step 6: Final answer
    x = 283,362.76

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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.