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Finding the Third Proportional to 207,336 and 325,305.75

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Solution

The third proportional to 207,336 and 325,305.75 is: 510,397.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,336 : 325,305.75 = 325,305.75 : x
  2. Step 2: Convert to fraction form
    207,336/325,305.75 = 325,305.75/x
  3. Step 3: Cross multiply
    207,336x = 325,305.75 × 325,305.75
  4. Step 4: Simplify right side
    207,336x = 105,823,830,983.06
  5. Step 5: Solve for x
    x = 105,823,830,983.06/207,336
  6. Step 6: Final answer
    x = 510,397.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.