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Finding the Third Proportional to 342,205.50 and 532,650

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Solution

The third proportional to 342,205.50 and 532,650 is: 829,080.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,205.50 : 532,650 = 532,650 : x
  2. Step 2: Convert to fraction form
    342,205.50/532,650 = 532,650/x
  3. Step 3: Cross multiply
    342,205.50x = 532,650 × 532,650
  4. Step 4: Simplify right side
    342,205.50x = 283,716,022,500
  5. Step 5: Solve for x
    x = 283,716,022,500/342,205.50
  6. Step 6: Final answer
    x = 829,080.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.