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Finding the Third Proportional to 157,664 and 335,416

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Solution

The third proportional to 157,664 and 335,416 is: 713,567.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,664 : 335,416 = 335,416 : x
  2. Step 2: Convert to fraction form
    157,664/335,416 = 335,416/x
  3. Step 3: Cross multiply
    157,664x = 335,416 × 335,416
  4. Step 4: Simplify right side
    157,664x = 112,503,893,056
  5. Step 5: Solve for x
    x = 112,503,893,056/157,664
  6. Step 6: Final answer
    x = 713,567.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.