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Finding the Third Proportional to 175,018 and 357,412

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Solution

The third proportional to 175,018 and 357,412 is: 729,886.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,018 : 357,412 = 357,412 : x
  2. Step 2: Convert to fraction form
    175,018/357,412 = 357,412/x
  3. Step 3: Cross multiply
    175,018x = 357,412 × 357,412
  4. Step 4: Simplify right side
    175,018x = 127,743,337,744
  5. Step 5: Solve for x
    x = 127,743,337,744/175,018
  6. Step 6: Final answer
    x = 729,886.86

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.