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Finding the Third Proportional to 158,869 and 232,957.50

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Solution

The third proportional to 158,869 and 232,957.50 is: 341,597.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,869 : 232,957.50 = 232,957.50 : x
  2. Step 2: Convert to fraction form
    158,869/232,957.50 = 232,957.50/x
  3. Step 3: Cross multiply
    158,869x = 232,957.50 × 232,957.50
  4. Step 4: Simplify right side
    158,869x = 54,269,196,806.25
  5. Step 5: Solve for x
    x = 54,269,196,806.25/158,869
  6. Step 6: Final answer
    x = 341,597.14

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.