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Finding the Third Proportional to 138,354.75 and 210,403.50

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Solution

The third proportional to 138,354.75 and 210,403.50 is: 319,971.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,354.75 : 210,403.50 = 210,403.50 : x
  2. Step 2: Convert to fraction form
    138,354.75/210,403.50 = 210,403.50/x
  3. Step 3: Cross multiply
    138,354.75x = 210,403.50 × 210,403.50
  4. Step 4: Simplify right side
    138,354.75x = 44,269,632,812.25
  5. Step 5: Solve for x
    x = 44,269,632,812.25/138,354.75
  6. Step 6: Final answer
    x = 319,971.90

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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.