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Finding the Third Proportional to 162,938.25 and 249,252.75

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Solution

The third proportional to 162,938.25 and 249,252.75 is: 381,291.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,938.25 : 249,252.75 = 249,252.75 : x
  2. Step 2: Convert to fraction form
    162,938.25/249,252.75 = 249,252.75/x
  3. Step 3: Cross multiply
    162,938.25x = 249,252.75 × 249,252.75
  4. Step 4: Simplify right side
    162,938.25x = 62,126,933,382.56
  5. Step 5: Solve for x
    x = 62,126,933,382.56/162,938.25
  6. Step 6: Final answer
    x = 381,291.28

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.