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Finding the Third Proportional to 162,904 and 214,712

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Solution

The third proportional to 162,904 and 214,712 is: 282,996.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,904 : 214,712 = 214,712 : x
  2. Step 2: Convert to fraction form
    162,904/214,712 = 214,712/x
  3. Step 3: Cross multiply
    162,904x = 214,712 × 214,712
  4. Step 4: Simplify right side
    162,904x = 46,101,242,944
  5. Step 5: Solve for x
    x = 46,101,242,944/162,904
  6. Step 6: Final answer
    x = 282,996.38

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.