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Finding the Third Proportional to 229,168 and 492,188

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Solution

The third proportional to 229,168 and 492,188 is: 1,057,080.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,168 : 492,188 = 492,188 : x
  2. Step 2: Convert to fraction form
    229,168/492,188 = 492,188/x
  3. Step 3: Cross multiply
    229,168x = 492,188 × 492,188
  4. Step 4: Simplify right side
    229,168x = 242,249,027,344
  5. Step 5: Solve for x
    x = 242,249,027,344/229,168
  6. Step 6: Final answer
    x = 1,057,080.51

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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.