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Finding the Third Proportional to 152,965 and 328,073

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Solution

The third proportional to 152,965 and 328,073 is: 703,637.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,965 : 328,073 = 328,073 : x
  2. Step 2: Convert to fraction form
    152,965/328,073 = 328,073/x
  3. Step 3: Cross multiply
    152,965x = 328,073 × 328,073
  4. Step 4: Simplify right side
    152,965x = 107,631,893,329
  5. Step 5: Solve for x
    x = 107,631,893,329/152,965
  6. Step 6: Final answer
    x = 703,637.39

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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.