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Finding the Third Proportional to 229,194 and 492,246

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Solution

The third proportional to 229,194 and 492,246 is: 1,057,209.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,194 : 492,246 = 492,246 : x
  2. Step 2: Convert to fraction form
    229,194/492,246 = 492,246/x
  3. Step 3: Cross multiply
    229,194x = 492,246 × 492,246
  4. Step 4: Simplify right side
    229,194x = 242,306,124,516
  5. Step 5: Solve for x
    x = 242,306,124,516/229,194
  6. Step 6: Final answer
    x = 1,057,209.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.