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Finding the Third Proportional to 139,056 and 215,416

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Solution

The third proportional to 139,056 and 215,416 is: 333,707.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,056 : 215,416 = 215,416 : x
  2. Step 2: Convert to fraction form
    139,056/215,416 = 215,416/x
  3. Step 3: Cross multiply
    139,056x = 215,416 × 215,416
  4. Step 4: Simplify right side
    139,056x = 46,404,053,056
  5. Step 5: Solve for x
    x = 46,404,053,056/139,056
  6. Step 6: Final answer
    x = 333,707.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.