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Finding the Third Proportional to 152,964 and 328,077

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Solution

The third proportional to 152,964 and 328,077 is: 703,659.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,964 : 328,077 = 328,077 : x
  2. Step 2: Convert to fraction form
    152,964/328,077 = 328,077/x
  3. Step 3: Cross multiply
    152,964x = 328,077 × 328,077
  4. Step 4: Simplify right side
    152,964x = 107,634,517,929
  5. Step 5: Solve for x
    x = 107,634,517,929/152,964
  6. Step 6: Final answer
    x = 703,659.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.