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Finding the Third Proportional to 249,132 and 386,825

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Solution

The third proportional to 249,132 and 386,825 is: 600,619.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,132 : 386,825 = 386,825 : x
  2. Step 2: Convert to fraction form
    249,132/386,825 = 386,825/x
  3. Step 3: Cross multiply
    249,132x = 386,825 × 386,825
  4. Step 4: Simplify right side
    249,132x = 149,633,580,625
  5. Step 5: Solve for x
    x = 149,633,580,625/249,132
  6. Step 6: Final answer
    x = 600,619.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.