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Finding the Third Proportional to 155,530.50 and 233,889

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Solution

The third proportional to 155,530.50 and 233,889 is: 351,725.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,530.50 : 233,889 = 233,889 : x
  2. Step 2: Convert to fraction form
    155,530.50/233,889 = 233,889/x
  3. Step 3: Cross multiply
    155,530.50x = 233,889 × 233,889
  4. Step 4: Simplify right side
    155,530.50x = 54,704,064,321
  5. Step 5: Solve for x
    x = 54,704,064,321/155,530.50
  6. Step 6: Final answer
    x = 351,725.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.