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Finding the Third Proportional to 202,068 and 294,216

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Solution

The third proportional to 202,068 and 294,216 is: 428,385.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,068 : 294,216 = 294,216 : x
  2. Step 2: Convert to fraction form
    202,068/294,216 = 294,216/x
  3. Step 3: Cross multiply
    202,068x = 294,216 × 294,216
  4. Step 4: Simplify right side
    202,068x = 86,563,054,656
  5. Step 5: Solve for x
    x = 86,563,054,656/202,068
  6. Step 6: Final answer
    x = 428,385.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.