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Finding the Third Proportional to 147,463 and 322,523

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Solution

The third proportional to 147,463 and 322,523 is: 705,404.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,463 : 322,523 = 322,523 : x
  2. Step 2: Convert to fraction form
    147,463/322,523 = 322,523/x
  3. Step 3: Cross multiply
    147,463x = 322,523 × 322,523
  4. Step 4: Simplify right side
    147,463x = 104,021,085,529
  5. Step 5: Solve for x
    x = 104,021,085,529/147,463
  6. Step 6: Final answer
    x = 705,404.65

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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.