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Finding the Third Proportional to 147,896 and 323,779

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Solution

The third proportional to 147,896 and 323,779 is: 708,828.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,896 : 323,779 = 323,779 : x
  2. Step 2: Convert to fraction form
    147,896/323,779 = 323,779/x
  3. Step 3: Cross multiply
    147,896x = 323,779 × 323,779
  4. Step 4: Simplify right side
    147,896x = 104,832,840,841
  5. Step 5: Solve for x
    x = 104,832,840,841/147,896
  6. Step 6: Final answer
    x = 708,828.10

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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.