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Finding the Third Proportional to 148,081.50 and 238,477.50

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Solution

The third proportional to 148,081.50 and 238,477.50 is: 384,055.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,081.50 : 238,477.50 = 238,477.50 : x
  2. Step 2: Convert to fraction form
    148,081.50/238,477.50 = 238,477.50/x
  3. Step 3: Cross multiply
    148,081.50x = 238,477.50 × 238,477.50
  4. Step 4: Simplify right side
    148,081.50x = 56,871,518,006.25
  5. Step 5: Solve for x
    x = 56,871,518,006.25/148,081.50
  6. Step 6: Final answer
    x = 384,055.52

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.