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Finding the Third Proportional to 147,588 and 322,884

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Solution

The third proportional to 147,588 and 322,884 is: 706,385.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,588 : 322,884 = 322,884 : x
  2. Step 2: Convert to fraction form
    147,588/322,884 = 322,884/x
  3. Step 3: Cross multiply
    147,588x = 322,884 × 322,884
  4. Step 4: Simplify right side
    147,588x = 104,254,077,456
  5. Step 5: Solve for x
    x = 104,254,077,456/147,588
  6. Step 6: Final answer
    x = 706,385.87

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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.