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Finding the Third Proportional to 108,710 and 237,346

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Solution

The third proportional to 108,710 and 237,346 is: 518,196.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,710 : 237,346 = 237,346 : x
  2. Step 2: Convert to fraction form
    108,710/237,346 = 237,346/x
  3. Step 3: Cross multiply
    108,710x = 237,346 × 237,346
  4. Step 4: Simplify right side
    108,710x = 56,333,123,716
  5. Step 5: Solve for x
    x = 56,333,123,716/108,710
  6. Step 6: Final answer
    x = 518,196.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.