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Finding the Third Proportional to 139,456.50 and 210,494.25

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Solution

The third proportional to 139,456.50 and 210,494.25 is: 317,717.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,456.50 : 210,494.25 = 210,494.25 : x
  2. Step 2: Convert to fraction form
    139,456.50/210,494.25 = 210,494.25/x
  3. Step 3: Cross multiply
    139,456.50x = 210,494.25 × 210,494.25
  4. Step 4: Simplify right side
    139,456.50x = 44,307,829,283.06
  5. Step 5: Solve for x
    x = 44,307,829,283.06/139,456.50
  6. Step 6: Final answer
    x = 317,717.92

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.