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Finding the Third Proportional to 162,024 and 245,196

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Solution

The third proportional to 162,024 and 245,196 is: 371,062.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,024 : 245,196 = 245,196 : x
  2. Step 2: Convert to fraction form
    162,024/245,196 = 245,196/x
  3. Step 3: Cross multiply
    162,024x = 245,196 × 245,196
  4. Step 4: Simplify right side
    162,024x = 60,121,078,416
  5. Step 5: Solve for x
    x = 60,121,078,416/162,024
  6. Step 6: Final answer
    x = 371,062.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.