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Finding the Third Proportional to 110,386 and 174,867

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Solution

The third proportional to 110,386 and 174,867 is: 277,014.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,386 : 174,867 = 174,867 : x
  2. Step 2: Convert to fraction form
    110,386/174,867 = 174,867/x
  3. Step 3: Cross multiply
    110,386x = 174,867 × 174,867
  4. Step 4: Simplify right side
    110,386x = 30,578,467,689
  5. Step 5: Solve for x
    x = 30,578,467,689/110,386
  6. Step 6: Final answer
    x = 277,014.00

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.