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Finding the Third Proportional to 162,350 and 348,844

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Solution

The third proportional to 162,350 and 348,844 is: 749,566.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,350 : 348,844 = 348,844 : x
  2. Step 2: Convert to fraction form
    162,350/348,844 = 348,844/x
  3. Step 3: Cross multiply
    162,350x = 348,844 × 348,844
  4. Step 4: Simplify right side
    162,350x = 121,692,136,336
  5. Step 5: Solve for x
    x = 121,692,136,336/162,350
  6. Step 6: Final answer
    x = 749,566.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.