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Finding the Third Proportional to 249,072 and 389,162

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Solution

The third proportional to 249,072 and 389,162 is: 608,045.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,072 : 389,162 = 389,162 : x
  2. Step 2: Convert to fraction form
    249,072/389,162 = 389,162/x
  3. Step 3: Cross multiply
    249,072x = 389,162 × 389,162
  4. Step 4: Simplify right side
    249,072x = 151,447,062,244
  5. Step 5: Solve for x
    x = 151,447,062,244/249,072
  6. Step 6: Final answer
    x = 608,045.31

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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.