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Finding the Third Proportional to 151,807 and 329,864

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Solution

The third proportional to 151,807 and 329,864 is: 716,767.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,807 : 329,864 = 329,864 : x
  2. Step 2: Convert to fraction form
    151,807/329,864 = 329,864/x
  3. Step 3: Cross multiply
    151,807x = 329,864 × 329,864
  4. Step 4: Simplify right side
    151,807x = 108,810,258,496
  5. Step 5: Solve for x
    x = 108,810,258,496/151,807
  6. Step 6: Final answer
    x = 716,767.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.