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Finding the Third Proportional to 108,955 and 235,416

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Solution

The third proportional to 108,955 and 235,416 is: 508,656.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,955 : 235,416 = 235,416 : x
  2. Step 2: Convert to fraction form
    108,955/235,416 = 235,416/x
  3. Step 3: Cross multiply
    108,955x = 235,416 × 235,416
  4. Step 4: Simplify right side
    108,955x = 55,420,693,056
  5. Step 5: Solve for x
    x = 55,420,693,056/108,955
  6. Step 6: Final answer
    x = 508,656.72

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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.