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Finding the Third Proportional to 175,924 and 357,992

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Solution

The third proportional to 175,924 and 357,992 is: 728,486.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,924 : 357,992 = 357,992 : x
  2. Step 2: Convert to fraction form
    175,924/357,992 = 357,992/x
  3. Step 3: Cross multiply
    175,924x = 357,992 × 357,992
  4. Step 4: Simplify right side
    175,924x = 128,158,272,064
  5. Step 5: Solve for x
    x = 128,158,272,064/175,924
  6. Step 6: Final answer
    x = 728,486.57

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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.