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Finding the Third Proportional to 176,425.50 and 265,038

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Solution

The third proportional to 176,425.50 and 265,038 is: 398,157.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,425.50 : 265,038 = 265,038 : x
  2. Step 2: Convert to fraction form
    176,425.50/265,038 = 265,038/x
  3. Step 3: Cross multiply
    176,425.50x = 265,038 × 265,038
  4. Step 4: Simplify right side
    176,425.50x = 70,245,141,444
  5. Step 5: Solve for x
    x = 70,245,141,444/176,425.50
  6. Step 6: Final answer
    x = 398,157.53

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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.