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Finding the Third Proportional to 158,641.88 and 242,986.50

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Solution

The third proportional to 158,641.88 and 242,986.50 is: 372,174.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,641.88 : 242,986.50 = 242,986.50 : x
  2. Step 2: Convert to fraction form
    158,641.88/242,986.50 = 242,986.50/x
  3. Step 3: Cross multiply
    158,641.88x = 242,986.50 × 242,986.50
  4. Step 4: Simplify right side
    158,641.88x = 59,042,439,182.25
  5. Step 5: Solve for x
    x = 59,042,439,182.25/158,641.88
  6. Step 6: Final answer
    x = 372,174.37

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