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Finding the Third Proportional to 153,416 and 328,150

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Solution

The third proportional to 153,416 and 328,150 is: 701,898.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,416 : 328,150 = 328,150 : x
  2. Step 2: Convert to fraction form
    153,416/328,150 = 328,150/x
  3. Step 3: Cross multiply
    153,416x = 328,150 × 328,150
  4. Step 4: Simplify right side
    153,416x = 107,682,422,500
  5. Step 5: Solve for x
    x = 107,682,422,500/153,416
  6. Step 6: Final answer
    x = 701,898.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.