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Finding the Third Proportional to 249,787.50 and 380,938.50

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Solution

The third proportional to 249,787.50 and 380,938.50 is: 580,950.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,787.50 : 380,938.50 = 380,938.50 : x
  2. Step 2: Convert to fraction form
    249,787.50/380,938.50 = 380,938.50/x
  3. Step 3: Cross multiply
    249,787.50x = 380,938.50 × 380,938.50
  4. Step 4: Simplify right side
    249,787.50x = 145,114,140,782.25
  5. Step 5: Solve for x
    x = 145,114,140,782.25/249,787.50
  6. Step 6: Final answer
    x = 580,950.37

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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.