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Finding the Third Proportional to 147,469 and 322,535

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Solution

The third proportional to 147,469 and 322,535 is: 705,428.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,469 : 322,535 = 322,535 : x
  2. Step 2: Convert to fraction form
    147,469/322,535 = 322,535/x
  3. Step 3: Cross multiply
    147,469x = 322,535 × 322,535
  4. Step 4: Simplify right side
    147,469x = 104,028,826,225
  5. Step 5: Solve for x
    x = 104,028,826,225/147,469
  6. Step 6: Final answer
    x = 705,428.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.