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Finding the Third Proportional to 155,926.50 and 237,170.25

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Solution

The third proportional to 155,926.50 and 237,170.25 is: 360,745.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,926.50 : 237,170.25 = 237,170.25 : x
  2. Step 2: Convert to fraction form
    155,926.50/237,170.25 = 237,170.25/x
  3. Step 3: Cross multiply
    155,926.50x = 237,170.25 × 237,170.25
  4. Step 4: Simplify right side
    155,926.50x = 56,249,727,485.06
  5. Step 5: Solve for x
    x = 56,249,727,485.06/155,926.50
  6. Step 6: Final answer
    x = 360,745.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.