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Finding the Third Proportional to 162,844 and 353,539

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Solution

The third proportional to 162,844 and 353,539 is: 767,543.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,844 : 353,539 = 353,539 : x
  2. Step 2: Convert to fraction form
    162,844/353,539 = 353,539/x
  3. Step 3: Cross multiply
    162,844x = 353,539 × 353,539
  4. Step 4: Simplify right side
    162,844x = 124,989,824,521
  5. Step 5: Solve for x
    x = 124,989,824,521/162,844
  6. Step 6: Final answer
    x = 767,543.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.