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Finding the Third Proportional to 129,703.50 and 279,420

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Solution

The third proportional to 129,703.50 and 279,420 is: 601,953.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,703.50 : 279,420 = 279,420 : x
  2. Step 2: Convert to fraction form
    129,703.50/279,420 = 279,420/x
  3. Step 3: Cross multiply
    129,703.50x = 279,420 × 279,420
  4. Step 4: Simplify right side
    129,703.50x = 78,075,536,400
  5. Step 5: Solve for x
    x = 78,075,536,400/129,703.50
  6. Step 6: Final answer
    x = 601,953.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.