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Finding the Third Proportional to 128,352 and 309,216

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Solution

The third proportional to 128,352 and 309,216 is: 744,939.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,352 : 309,216 = 309,216 : x
  2. Step 2: Convert to fraction form
    128,352/309,216 = 309,216/x
  3. Step 3: Cross multiply
    128,352x = 309,216 × 309,216
  4. Step 4: Simplify right side
    128,352x = 95,614,534,656
  5. Step 5: Solve for x
    x = 95,614,534,656/128,352
  6. Step 6: Final answer
    x = 744,939.97

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.