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Finding the Third Proportional to 174,075.50 and 234,869

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Solution

The third proportional to 174,075.50 and 234,869 is: 316,893.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,075.50 : 234,869 = 234,869 : x
  2. Step 2: Convert to fraction form
    174,075.50/234,869 = 234,869/x
  3. Step 3: Cross multiply
    174,075.50x = 234,869 × 234,869
  4. Step 4: Simplify right side
    174,075.50x = 55,163,447,161
  5. Step 5: Solve for x
    x = 55,163,447,161/174,075.50
  6. Step 6: Final answer
    x = 316,893.80

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.