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Finding the Third Proportional to 162,570 and 255,357

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Solution

The third proportional to 162,570 and 255,357 is: 401,102.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,570 : 255,357 = 255,357 : x
  2. Step 2: Convert to fraction form
    162,570/255,357 = 255,357/x
  3. Step 3: Cross multiply
    162,570x = 255,357 × 255,357
  4. Step 4: Simplify right side
    162,570x = 65,207,197,449
  5. Step 5: Solve for x
    x = 65,207,197,449/162,570
  6. Step 6: Final answer
    x = 401,102.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.