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Finding the Third Proportional to 175,922 and 357,988

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Solution

The third proportional to 175,922 and 357,988 is: 728,478.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,922 : 357,988 = 357,988 : x
  2. Step 2: Convert to fraction form
    175,922/357,988 = 357,988/x
  3. Step 3: Cross multiply
    175,922x = 357,988 × 357,988
  4. Step 4: Simplify right side
    175,922x = 128,155,408,144
  5. Step 5: Solve for x
    x = 128,155,408,144/175,922
  6. Step 6: Final answer
    x = 728,478.58

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.