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Finding the Third Proportional to 152,995.50 and 237,485.25

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Solution

The third proportional to 152,995.50 and 237,485.25 is: 368,633.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,995.50 : 237,485.25 = 237,485.25 : x
  2. Step 2: Convert to fraction form
    152,995.50/237,485.25 = 237,485.25/x
  3. Step 3: Cross multiply
    152,995.50x = 237,485.25 × 237,485.25
  4. Step 4: Simplify right side
    152,995.50x = 56,399,243,967.56
  5. Step 5: Solve for x
    x = 56,399,243,967.56/152,995.50
  6. Step 6: Final answer
    x = 368,633.35

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.