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Finding the Third Proportional to 110,357.50 and 174,865

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Solution

The third proportional to 110,357.50 and 174,865 is: 277,079.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,357.50 : 174,865 = 174,865 : x
  2. Step 2: Convert to fraction form
    110,357.50/174,865 = 174,865/x
  3. Step 3: Cross multiply
    110,357.50x = 174,865 × 174,865
  4. Step 4: Simplify right side
    110,357.50x = 30,577,768,225
  5. Step 5: Solve for x
    x = 30,577,768,225/110,357.50
  6. Step 6: Final answer
    x = 277,079.20

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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.