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Finding the Third Proportional to 279,615 and 359,158.50

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Solution

The third proportional to 279,615 and 359,158.50 is: 461,330.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,615 : 359,158.50 = 359,158.50 : x
  2. Step 2: Convert to fraction form
    279,615/359,158.50 = 359,158.50/x
  3. Step 3: Cross multiply
    279,615x = 359,158.50 × 359,158.50
  4. Step 4: Simplify right side
    279,615x = 128,994,828,122.25
  5. Step 5: Solve for x
    x = 128,994,828,122.25/279,615
  6. Step 6: Final answer
    x = 461,330.14

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.