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Finding the Third Proportional to 213,848.25 and 298,966.50

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Solution

The third proportional to 213,848.25 and 298,966.50 is: 417,964.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,848.25 : 298,966.50 = 298,966.50 : x
  2. Step 2: Convert to fraction form
    213,848.25/298,966.50 = 298,966.50/x
  3. Step 3: Cross multiply
    213,848.25x = 298,966.50 × 298,966.50
  4. Step 4: Simplify right side
    213,848.25x = 89,380,968,122.25
  5. Step 5: Solve for x
    x = 89,380,968,122.25/213,848.25
  6. Step 6: Final answer
    x = 417,964.46

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.