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Finding the Third Proportional to 229,164 and 492,180

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Solution

The third proportional to 229,164 and 492,180 is: 1,057,064.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,164 : 492,180 = 492,180 : x
  2. Step 2: Convert to fraction form
    229,164/492,180 = 492,180/x
  3. Step 3: Cross multiply
    229,164x = 492,180 × 492,180
  4. Step 4: Simplify right side
    229,164x = 242,241,152,400
  5. Step 5: Solve for x
    x = 242,241,152,400/229,164
  6. Step 6: Final answer
    x = 1,057,064.60

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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.