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Finding the Third Proportional to 110,705 and 176,240

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Solution

The third proportional to 110,705 and 176,240 is: 280,570.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,705 : 176,240 = 176,240 : x
  2. Step 2: Convert to fraction form
    110,705/176,240 = 176,240/x
  3. Step 3: Cross multiply
    110,705x = 176,240 × 176,240
  4. Step 4: Simplify right side
    110,705x = 31,060,537,600
  5. Step 5: Solve for x
    x = 31,060,537,600/110,705
  6. Step 6: Final answer
    x = 280,570.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.