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Finding the Third Proportional to 161,520 and 245,196

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Solution

The third proportional to 161,520 and 245,196 is: 372,220.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,520 : 245,196 = 245,196 : x
  2. Step 2: Convert to fraction form
    161,520/245,196 = 245,196/x
  3. Step 3: Cross multiply
    161,520x = 245,196 × 245,196
  4. Step 4: Simplify right side
    161,520x = 60,121,078,416
  5. Step 5: Solve for x
    x = 60,121,078,416/161,520
  6. Step 6: Final answer
    x = 372,220.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.