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Finding the Third Proportional to 182,232 and 245,196

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Solution

The third proportional to 182,232 and 245,196 is: 329,915.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,232 : 245,196 = 245,196 : x
  2. Step 2: Convert to fraction form
    182,232/245,196 = 245,196/x
  3. Step 3: Cross multiply
    182,232x = 245,196 × 245,196
  4. Step 4: Simplify right side
    182,232x = 60,121,078,416
  5. Step 5: Solve for x
    x = 60,121,078,416/182,232
  6. Step 6: Final answer
    x = 329,915.04

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.