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Finding the Third Proportional to 174,276.56 and 258,172.31

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Solution

The third proportional to 174,276.56 and 258,172.31 is: 382,455.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,276.56 : 258,172.31 = 258,172.31 : x
  2. Step 2: Convert to fraction form
    174,276.56/258,172.31 = 258,172.31/x
  3. Step 3: Cross multiply
    174,276.56x = 258,172.31 × 258,172.31
  4. Step 4: Simplify right side
    174,276.56x = 66,652,942,941.60
  5. Step 5: Solve for x
    x = 66,652,942,941.60/174,276.56
  6. Step 6: Final answer
    x = 382,455.00

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.