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Finding the Third Proportional to 151,416 and 329,346

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Solution

The third proportional to 151,416 and 329,346 is: 716,362.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,416 : 329,346 = 329,346 : x
  2. Step 2: Convert to fraction form
    151,416/329,346 = 329,346/x
  3. Step 3: Cross multiply
    151,416x = 329,346 × 329,346
  4. Step 4: Simplify right side
    151,416x = 108,468,787,716
  5. Step 5: Solve for x
    x = 108,468,787,716/151,416
  6. Step 6: Final answer
    x = 716,362.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.