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Finding the Third Proportional to 147,463 and 322,524

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Solution

The third proportional to 147,463 and 322,524 is: 705,409.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,463 : 322,524 = 322,524 : x
  2. Step 2: Convert to fraction form
    147,463/322,524 = 322,524/x
  3. Step 3: Cross multiply
    147,463x = 322,524 × 322,524
  4. Step 4: Simplify right side
    147,463x = 104,021,730,576
  5. Step 5: Solve for x
    x = 104,021,730,576/147,463
  6. Step 6: Final answer
    x = 705,409.02

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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.