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Finding the Third Proportional to 147,645 and 322,354

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Solution

The third proportional to 147,645 and 322,354 is: 703,796.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,645 : 322,354 = 322,354 : x
  2. Step 2: Convert to fraction form
    147,645/322,354 = 322,354/x
  3. Step 3: Cross multiply
    147,645x = 322,354 × 322,354
  4. Step 4: Simplify right side
    147,645x = 103,912,101,316
  5. Step 5: Solve for x
    x = 103,912,101,316/147,645
  6. Step 6: Final answer
    x = 703,796.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.