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Finding the Third Proportional to 110,994 and 180,332

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Solution

The third proportional to 110,994 and 180,332 is: 292,985.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,994 : 180,332 = 180,332 : x
  2. Step 2: Convert to fraction form
    110,994/180,332 = 180,332/x
  3. Step 3: Cross multiply
    110,994x = 180,332 × 180,332
  4. Step 4: Simplify right side
    110,994x = 32,519,630,224
  5. Step 5: Solve for x
    x = 32,519,630,224/110,994
  6. Step 6: Final answer
    x = 292,985.48

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.