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Finding the Third Proportional to 168,529.50 and 357,834.75

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Solution

The third proportional to 168,529.50 and 357,834.75 is: 759,782.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,529.50 : 357,834.75 = 357,834.75 : x
  2. Step 2: Convert to fraction form
    168,529.50/357,834.75 = 357,834.75/x
  3. Step 3: Cross multiply
    168,529.50x = 357,834.75 × 357,834.75
  4. Step 4: Simplify right side
    168,529.50x = 128,045,708,307.56
  5. Step 5: Solve for x
    x = 128,045,708,307.56/168,529.50
  6. Step 6: Final answer
    x = 759,782.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.