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Finding the Third Proportional to 168,507 and 357,795

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Solution

The third proportional to 168,507 and 357,795 is: 759,714.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,507 : 357,795 = 357,795 : x
  2. Step 2: Convert to fraction form
    168,507/357,795 = 357,795/x
  3. Step 3: Cross multiply
    168,507x = 357,795 × 357,795
  4. Step 4: Simplify right side
    168,507x = 128,017,262,025
  5. Step 5: Solve for x
    x = 128,017,262,025/168,507
  6. Step 6: Final answer
    x = 759,714.80

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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.