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Finding the Third Proportional to 142,038.50 and 303,777

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Solution

The third proportional to 142,038.50 and 303,777 is: 649,686.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,038.50 : 303,777 = 303,777 : x
  2. Step 2: Convert to fraction form
    142,038.50/303,777 = 303,777/x
  3. Step 3: Cross multiply
    142,038.50x = 303,777 × 303,777
  4. Step 4: Simplify right side
    142,038.50x = 92,280,465,729
  5. Step 5: Solve for x
    x = 92,280,465,729/142,038.50
  6. Step 6: Final answer
    x = 649,686.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.