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Finding the Third Proportional to 109,349 and 235,468

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Solution

The third proportional to 109,349 and 235,468 is: 507,047.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,349 : 235,468 = 235,468 : x
  2. Step 2: Convert to fraction form
    109,349/235,468 = 235,468/x
  3. Step 3: Cross multiply
    109,349x = 235,468 × 235,468
  4. Step 4: Simplify right side
    109,349x = 55,445,179,024
  5. Step 5: Solve for x
    x = 55,445,179,024/109,349
  6. Step 6: Final answer
    x = 507,047.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.