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Finding the Third Proportional to 155,491.50 and 233,186.25

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Solution

The third proportional to 155,491.50 and 233,186.25 is: 349,702.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,491.50 : 233,186.25 = 233,186.25 : x
  2. Step 2: Convert to fraction form
    155,491.50/233,186.25 = 233,186.25/x
  3. Step 3: Cross multiply
    155,491.50x = 233,186.25 × 233,186.25
  4. Step 4: Simplify right side
    155,491.50x = 54,375,827,189.06
  5. Step 5: Solve for x
    x = 54,375,827,189.06/155,491.50
  6. Step 6: Final answer
    x = 349,702.89

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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.