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Finding the Third Proportional to 249,579 and 374,245.50

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Solution

The third proportional to 249,579 and 374,245.50 is: 561,183.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,579 : 374,245.50 = 374,245.50 : x
  2. Step 2: Convert to fraction form
    249,579/374,245.50 = 374,245.50/x
  3. Step 3: Cross multiply
    249,579x = 374,245.50 × 374,245.50
  4. Step 4: Simplify right side
    249,579x = 140,059,694,270.25
  5. Step 5: Solve for x
    x = 140,059,694,270.25/249,579
  6. Step 6: Final answer
    x = 561,183.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.