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Finding the Third Proportional to 176,433.19 and 265,052.25

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Solution

The third proportional to 176,433.19 and 265,052.25 is: 398,183.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,433.19 : 265,052.25 = 265,052.25 : x
  2. Step 2: Convert to fraction form
    176,433.19/265,052.25 = 265,052.25/x
  3. Step 3: Cross multiply
    176,433.19x = 265,052.25 × 265,052.25
  4. Step 4: Simplify right side
    176,433.19x = 70,252,695,230.06
  5. Step 5: Solve for x
    x = 70,252,695,230.06/176,433.19
  6. Step 6: Final answer
    x = 398,183.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.