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Finding the Third Proportional to 185,430 and 248,620.50

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Solution

The third proportional to 185,430 and 248,620.50 is: 333,344.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,430 : 248,620.50 = 248,620.50 : x
  2. Step 2: Convert to fraction form
    185,430/248,620.50 = 248,620.50/x
  3. Step 3: Cross multiply
    185,430x = 248,620.50 × 248,620.50
  4. Step 4: Simplify right side
    185,430x = 61,812,153,020.25
  5. Step 5: Solve for x
    x = 61,812,153,020.25/185,430
  6. Step 6: Final answer
    x = 333,344.94

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.