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Finding the Third Proportional to 168,827 and 257,528.50

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Solution

The third proportional to 168,827 and 257,528.50 is: 392,833.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,827 : 257,528.50 = 257,528.50 : x
  2. Step 2: Convert to fraction form
    168,827/257,528.50 = 257,528.50/x
  3. Step 3: Cross multiply
    168,827x = 257,528.50 × 257,528.50
  4. Step 4: Simplify right side
    168,827x = 66,320,928,312.25
  5. Step 5: Solve for x
    x = 66,320,928,312.25/168,827
  6. Step 6: Final answer
    x = 392,833.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.