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Finding the Third Proportional to 147,212 and 318,826

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Solution

The third proportional to 147,212 and 318,826 is: 690,500.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,212 : 318,826 = 318,826 : x
  2. Step 2: Convert to fraction form
    147,212/318,826 = 318,826/x
  3. Step 3: Cross multiply
    147,212x = 318,826 × 318,826
  4. Step 4: Simplify right side
    147,212x = 101,650,018,276
  5. Step 5: Solve for x
    x = 101,650,018,276/147,212
  6. Step 6: Final answer
    x = 690,500.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.