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Finding the Third Proportional to 108,134 and 237,319

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Solution

The third proportional to 108,134 and 237,319 is: 520,838.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,134 : 237,319 = 237,319 : x
  2. Step 2: Convert to fraction form
    108,134/237,319 = 237,319/x
  3. Step 3: Cross multiply
    108,134x = 237,319 × 237,319
  4. Step 4: Simplify right side
    108,134x = 56,320,307,761
  5. Step 5: Solve for x
    x = 56,320,307,761/108,134
  6. Step 6: Final answer
    x = 520,838.11

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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.