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Finding the Third Proportional to 153,398 and 328,654

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Solution

The third proportional to 153,398 and 328,654 is: 704,138.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,398 : 328,654 = 328,654 : x
  2. Step 2: Convert to fraction form
    153,398/328,654 = 328,654/x
  3. Step 3: Cross multiply
    153,398x = 328,654 × 328,654
  4. Step 4: Simplify right side
    153,398x = 108,013,451,716
  5. Step 5: Solve for x
    x = 108,013,451,716/153,398
  6. Step 6: Final answer
    x = 704,138.59

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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.