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Finding the Third Proportional to 196,506 and 296,412

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Solution

The third proportional to 196,506 and 296,412 is: 447,111.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,506 : 296,412 = 296,412 : x
  2. Step 2: Convert to fraction form
    196,506/296,412 = 296,412/x
  3. Step 3: Cross multiply
    196,506x = 296,412 × 296,412
  4. Step 4: Simplify right side
    196,506x = 87,860,073,744
  5. Step 5: Solve for x
    x = 87,860,073,744/196,506
  6. Step 6: Final answer
    x = 447,111.40

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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.