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Finding the Third Proportional to 179,076 and 389,784

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Solution

The third proportional to 179,076 and 389,784 is: 848,419.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,076 : 389,784 = 389,784 : x
  2. Step 2: Convert to fraction form
    179,076/389,784 = 389,784/x
  3. Step 3: Cross multiply
    179,076x = 389,784 × 389,784
  4. Step 4: Simplify right side
    179,076x = 151,931,566,656
  5. Step 5: Solve for x
    x = 151,931,566,656/179,076
  6. Step 6: Final answer
    x = 848,419.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.