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Finding the Third Proportional to 108,494 and 235,032

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Solution

The third proportional to 108,494 and 235,032 is: 509,152.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,494 : 235,032 = 235,032 : x
  2. Step 2: Convert to fraction form
    108,494/235,032 = 235,032/x
  3. Step 3: Cross multiply
    108,494x = 235,032 × 235,032
  4. Step 4: Simplify right side
    108,494x = 55,240,041,024
  5. Step 5: Solve for x
    x = 55,240,041,024/108,494
  6. Step 6: Final answer
    x = 509,152.96

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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.