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Finding the Third Proportional to 100,804 and 214,352

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Solution

The third proportional to 100,804 and 214,352 is: 455,803.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,804 : 214,352 = 214,352 : x
  2. Step 2: Convert to fraction form
    100,804/214,352 = 214,352/x
  3. Step 3: Cross multiply
    100,804x = 214,352 × 214,352
  4. Step 4: Simplify right side
    100,804x = 45,946,779,904
  5. Step 5: Solve for x
    x = 45,946,779,904/100,804
  6. Step 6: Final answer
    x = 455,803.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.