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Finding the Third Proportional to 162,564 and 251,208

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Solution

The third proportional to 162,564 and 251,208 is: 388,188.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,564 : 251,208 = 251,208 : x
  2. Step 2: Convert to fraction form
    162,564/251,208 = 251,208/x
  3. Step 3: Cross multiply
    162,564x = 251,208 × 251,208
  4. Step 4: Simplify right side
    162,564x = 63,105,459,264
  5. Step 5: Solve for x
    x = 63,105,459,264/162,564
  6. Step 6: Final answer
    x = 388,188.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.