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Finding the Third Proportional to 249,057 and 389,137.50

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Solution

The third proportional to 249,057 and 389,137.50 is: 608,005.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,057 : 389,137.50 = 389,137.50 : x
  2. Step 2: Convert to fraction form
    249,057/389,137.50 = 389,137.50/x
  3. Step 3: Cross multiply
    249,057x = 389,137.50 × 389,137.50
  4. Step 4: Simplify right side
    249,057x = 151,427,993,906.25
  5. Step 5: Solve for x
    x = 151,427,993,906.25/249,057
  6. Step 6: Final answer
    x = 608,005.37

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.