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Finding the Third Proportional to 155,431.50 and 233,724

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Solution

The third proportional to 155,431.50 and 233,724 is: 351,453.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,431.50 : 233,724 = 233,724 : x
  2. Step 2: Convert to fraction form
    155,431.50/233,724 = 233,724/x
  3. Step 3: Cross multiply
    155,431.50x = 233,724 × 233,724
  4. Step 4: Simplify right side
    155,431.50x = 54,626,908,176
  5. Step 5: Solve for x
    x = 54,626,908,176/155,431.50
  6. Step 6: Final answer
    x = 351,453.27

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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.