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Finding the Third Proportional to 152,001 and 329,964

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Solution

The third proportional to 152,001 and 329,964 is: 716,286.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,001 : 329,964 = 329,964 : x
  2. Step 2: Convert to fraction form
    152,001/329,964 = 329,964/x
  3. Step 3: Cross multiply
    152,001x = 329,964 × 329,964
  4. Step 4: Simplify right side
    152,001x = 108,876,241,296
  5. Step 5: Solve for x
    x = 108,876,241,296/152,001
  6. Step 6: Final answer
    x = 716,286.35

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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.