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Finding the Third Proportional to 180,910 and 265,947

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Solution

The third proportional to 180,910 and 265,947 is: 390,955.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,910 : 265,947 = 265,947 : x
  2. Step 2: Convert to fraction form
    180,910/265,947 = 265,947/x
  3. Step 3: Cross multiply
    180,910x = 265,947 × 265,947
  4. Step 4: Simplify right side
    180,910x = 70,727,806,809
  5. Step 5: Solve for x
    x = 70,727,806,809/180,910
  6. Step 6: Final answer
    x = 390,955.76

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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.