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Finding the Third Proportional to 177,590 and 249,793

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Solution

The third proportional to 177,590 and 249,793 is: 351,351.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,590 : 249,793 = 249,793 : x
  2. Step 2: Convert to fraction form
    177,590/249,793 = 249,793/x
  3. Step 3: Cross multiply
    177,590x = 249,793 × 249,793
  4. Step 4: Simplify right side
    177,590x = 62,396,542,849
  5. Step 5: Solve for x
    x = 62,396,542,849/177,590
  6. Step 6: Final answer
    x = 351,351.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.