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Finding the Third Proportional to 108,685 and 233,437

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Solution

The third proportional to 108,685 and 233,437 is: 501,383.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,685 : 233,437 = 233,437 : x
  2. Step 2: Convert to fraction form
    108,685/233,437 = 233,437/x
  3. Step 3: Cross multiply
    108,685x = 233,437 × 233,437
  4. Step 4: Simplify right side
    108,685x = 54,492,832,969
  5. Step 5: Solve for x
    x = 54,492,832,969/108,685
  6. Step 6: Final answer
    x = 501,383.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.