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Finding the Third Proportional to 108,173 and 234,598

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Solution

The third proportional to 108,173 and 234,598 is: 508,779.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,173 : 234,598 = 234,598 : x
  2. Step 2: Convert to fraction form
    108,173/234,598 = 234,598/x
  3. Step 3: Cross multiply
    108,173x = 234,598 × 234,598
  4. Step 4: Simplify right side
    108,173x = 55,036,221,604
  5. Step 5: Solve for x
    x = 55,036,221,604/108,173
  6. Step 6: Final answer
    x = 508,779.65

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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.