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Finding the Third Proportional to 138,426 and 297,451.50

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Solution

The third proportional to 138,426 and 297,451.50 is: 639,167.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,426 : 297,451.50 = 297,451.50 : x
  2. Step 2: Convert to fraction form
    138,426/297,451.50 = 297,451.50/x
  3. Step 3: Cross multiply
    138,426x = 297,451.50 × 297,451.50
  4. Step 4: Simplify right side
    138,426x = 88,477,394,852.25
  5. Step 5: Solve for x
    x = 88,477,394,852.25/138,426
  6. Step 6: Final answer
    x = 639,167.46

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.