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Finding the Third Proportional to 169,935 and 357,345

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Solution

The third proportional to 169,935 and 357,345 is: 751,437.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,935 : 357,345 = 357,345 : x
  2. Step 2: Convert to fraction form
    169,935/357,345 = 357,345/x
  3. Step 3: Cross multiply
    169,935x = 357,345 × 357,345
  4. Step 4: Simplify right side
    169,935x = 127,695,449,025
  5. Step 5: Solve for x
    x = 127,695,449,025/169,935
  6. Step 6: Final answer
    x = 751,437.01

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.