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Finding the Third Proportional to 250,101 and 546,120

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Solution

The third proportional to 250,101 and 546,120 is: 1,192,506.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,101 : 546,120 = 546,120 : x
  2. Step 2: Convert to fraction form
    250,101/546,120 = 546,120/x
  3. Step 3: Cross multiply
    250,101x = 546,120 × 546,120
  4. Step 4: Simplify right side
    250,101x = 298,247,054,400
  5. Step 5: Solve for x
    x = 298,247,054,400/250,101
  6. Step 6: Final answer
    x = 1,192,506.44

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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.