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Finding the Third Proportional to 180,896 and 265,925

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Solution

The third proportional to 180,896 and 265,925 is: 390,921.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,896 : 265,925 = 265,925 : x
  2. Step 2: Convert to fraction form
    180,896/265,925 = 265,925/x
  3. Step 3: Cross multiply
    180,896x = 265,925 × 265,925
  4. Step 4: Simplify right side
    180,896x = 70,716,105,625
  5. Step 5: Solve for x
    x = 70,716,105,625/180,896
  6. Step 6: Final answer
    x = 390,921.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.