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Finding the Third Proportional to 155,223.50 and 237,290.25

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Solution

The third proportional to 155,223.50 and 237,290.25 is: 362,745.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,223.50 : 237,290.25 = 237,290.25 : x
  2. Step 2: Convert to fraction form
    155,223.50/237,290.25 = 237,290.25/x
  3. Step 3: Cross multiply
    155,223.50x = 237,290.25 × 237,290.25
  4. Step 4: Simplify right side
    155,223.50x = 56,306,662,745.06
  5. Step 5: Solve for x
    x = 56,306,662,745.06/155,223.50
  6. Step 6: Final answer
    x = 362,745.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.