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Finding the Third Proportional to 108,430 and 234,960

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Solution

The third proportional to 108,430 and 234,960 is: 509,141.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,430 : 234,960 = 234,960 : x
  2. Step 2: Convert to fraction form
    108,430/234,960 = 234,960/x
  3. Step 3: Cross multiply
    108,430x = 234,960 × 234,960
  4. Step 4: Simplify right side
    108,430x = 55,206,201,600
  5. Step 5: Solve for x
    x = 55,206,201,600/108,430
  6. Step 6: Final answer
    x = 509,141.40

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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.