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Finding the Third Proportional to 139,400.25 and 296,782.50

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Solution

The third proportional to 139,400.25 and 296,782.50 is: 631,848.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,400.25 : 296,782.50 = 296,782.50 : x
  2. Step 2: Convert to fraction form
    139,400.25/296,782.50 = 296,782.50/x
  3. Step 3: Cross multiply
    139,400.25x = 296,782.50 × 296,782.50
  4. Step 4: Simplify right side
    139,400.25x = 88,079,852,306.25
  5. Step 5: Solve for x
    x = 88,079,852,306.25/139,400.25
  6. Step 6: Final answer
    x = 631,848.60

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.