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Finding the Third Proportional to 108,133 and 237,317

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Solution

The third proportional to 108,133 and 237,317 is: 520,834.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,133 : 237,317 = 237,317 : x
  2. Step 2: Convert to fraction form
    108,133/237,317 = 237,317/x
  3. Step 3: Cross multiply
    108,133x = 237,317 × 237,317
  4. Step 4: Simplify right side
    108,133x = 56,319,358,489
  5. Step 5: Solve for x
    x = 56,319,358,489/108,133
  6. Step 6: Final answer
    x = 520,834.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.