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Finding the Third Proportional to 160,875 and 244,771.50

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Solution

The third proportional to 160,875 and 244,771.50 is: 372,420.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,875 : 244,771.50 = 244,771.50 : x
  2. Step 2: Convert to fraction form
    160,875/244,771.50 = 244,771.50/x
  3. Step 3: Cross multiply
    160,875x = 244,771.50 × 244,771.50
  4. Step 4: Simplify right side
    160,875x = 59,913,087,212.25
  5. Step 5: Solve for x
    x = 59,913,087,212.25/160,875
  6. Step 6: Final answer
    x = 372,420.12

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