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Finding the Third Proportional to 132,971.63 and 307,511.44

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Solution

The third proportional to 132,971.63 and 307,511.44 is: 711,153.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,971.63 : 307,511.44 = 307,511.44 : x
  2. Step 2: Convert to fraction form
    132,971.63/307,511.44 = 307,511.44/x
  3. Step 3: Cross multiply
    132,971.63x = 307,511.44 × 307,511.44
  4. Step 4: Simplify right side
    132,971.63x = 94,563,284,193.32
  5. Step 5: Solve for x
    x = 94,563,284,193.32/132,971.63
  6. Step 6: Final answer
    x = 711,153.86

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.