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Finding the Third Proportional to 153,026 and 328,188

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Solution

The third proportional to 153,026 and 328,188 is: 703,850.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,026 : 328,188 = 328,188 : x
  2. Step 2: Convert to fraction form
    153,026/328,188 = 328,188/x
  3. Step 3: Cross multiply
    153,026x = 328,188 × 328,188
  4. Step 4: Simplify right side
    153,026x = 107,707,363,344
  5. Step 5: Solve for x
    x = 107,707,363,344/153,026
  6. Step 6: Final answer
    x = 703,850.09

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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.