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Finding the Third Proportional to 110,205 and 170,329.50

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Solution

The third proportional to 110,205 and 170,329.50 is: 263,256.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,205 : 170,329.50 = 170,329.50 : x
  2. Step 2: Convert to fraction form
    110,205/170,329.50 = 170,329.50/x
  3. Step 3: Cross multiply
    110,205x = 170,329.50 × 170,329.50
  4. Step 4: Simplify right side
    110,205x = 29,012,138,570.25
  5. Step 5: Solve for x
    x = 29,012,138,570.25/110,205
  6. Step 6: Final answer
    x = 263,256.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.