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Finding the Third Proportional to 109,342 and 235,454

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Solution

The third proportional to 109,342 and 235,454 is: 507,020.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,342 : 235,454 = 235,454 : x
  2. Step 2: Convert to fraction form
    109,342/235,454 = 235,454/x
  3. Step 3: Cross multiply
    109,342x = 235,454 × 235,454
  4. Step 4: Simplify right side
    109,342x = 55,438,586,116
  5. Step 5: Solve for x
    x = 55,438,586,116/109,342
  6. Step 6: Final answer
    x = 507,020.05

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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.