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Finding the Third Proportional to 248,377.50 and 393,466.50

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Solution

The third proportional to 248,377.50 and 393,466.50 is: 623,308.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,377.50 : 393,466.50 = 393,466.50 : x
  2. Step 2: Convert to fraction form
    248,377.50/393,466.50 = 393,466.50/x
  3. Step 3: Cross multiply
    248,377.50x = 393,466.50 × 393,466.50
  4. Step 4: Simplify right side
    248,377.50x = 154,815,886,622.25
  5. Step 5: Solve for x
    x = 154,815,886,622.25/248,377.50
  6. Step 6: Final answer
    x = 623,308.82

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.