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Finding the Third Proportional to 108,544.50 and 234,634.50

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Solution

The third proportional to 108,544.50 and 234,634.50 is: 507,196.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,544.50 : 234,634.50 = 234,634.50 : x
  2. Step 2: Convert to fraction form
    108,544.50/234,634.50 = 234,634.50/x
  3. Step 3: Cross multiply
    108,544.50x = 234,634.50 × 234,634.50
  4. Step 4: Simplify right side
    108,544.50x = 55,053,348,590.25
  5. Step 5: Solve for x
    x = 55,053,348,590.25/108,544.50
  6. Step 6: Final answer
    x = 507,196.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.