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Finding the Third Proportional to 151,021 and 328,705

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Solution

The third proportional to 151,021 and 328,705 is: 715,443.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,021 : 328,705 = 328,705 : x
  2. Step 2: Convert to fraction form
    151,021/328,705 = 328,705/x
  3. Step 3: Cross multiply
    151,021x = 328,705 × 328,705
  4. Step 4: Simplify right side
    151,021x = 108,046,977,025
  5. Step 5: Solve for x
    x = 108,046,977,025/151,021
  6. Step 6: Final answer
    x = 715,443.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.