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Finding the Third Proportional to 108,156 and 232,953

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Solution

The third proportional to 108,156 and 232,953 is: 501,748.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,156 : 232,953 = 232,953 : x
  2. Step 2: Convert to fraction form
    108,156/232,953 = 232,953/x
  3. Step 3: Cross multiply
    108,156x = 232,953 × 232,953
  4. Step 4: Simplify right side
    108,156x = 54,267,100,209
  5. Step 5: Solve for x
    x = 54,267,100,209/108,156
  6. Step 6: Final answer
    x = 501,748.40

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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.