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Finding the Third Proportional to 108,316 and 241,535

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Solution

The third proportional to 108,316 and 241,535 is: 538,601.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,316 : 241,535 = 241,535 : x
  2. Step 2: Convert to fraction form
    108,316/241,535 = 241,535/x
  3. Step 3: Cross multiply
    108,316x = 241,535 × 241,535
  4. Step 4: Simplify right side
    108,316x = 58,339,156,225
  5. Step 5: Solve for x
    x = 58,339,156,225/108,316
  6. Step 6: Final answer
    x = 538,601.46

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.