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Finding the Third Proportional to 249,675.75 and 365,744.25

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Solution

The third proportional to 249,675.75 and 365,744.25 is: 535,770.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,675.75 : 365,744.25 = 365,744.25 : x
  2. Step 2: Convert to fraction form
    249,675.75/365,744.25 = 365,744.25/x
  3. Step 3: Cross multiply
    249,675.75x = 365,744.25 × 365,744.25
  4. Step 4: Simplify right side
    249,675.75x = 133,768,856,408.06
  5. Step 5: Solve for x
    x = 133,768,856,408.06/249,675.75
  6. Step 6: Final answer
    x = 535,770.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.