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Finding the Third Proportional to 196,848 and 312,552

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Solution

The third proportional to 196,848 and 312,552 is: 496,264.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,848 : 312,552 = 312,552 : x
  2. Step 2: Convert to fraction form
    196,848/312,552 = 312,552/x
  3. Step 3: Cross multiply
    196,848x = 312,552 × 312,552
  4. Step 4: Simplify right side
    196,848x = 97,688,752,704
  5. Step 5: Solve for x
    x = 97,688,752,704/196,848
  6. Step 6: Final answer
    x = 496,264.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.