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Finding the Third Proportional to 147,944 and 323,533

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Solution

The third proportional to 147,944 and 323,533 is: 707,521.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,944 : 323,533 = 323,533 : x
  2. Step 2: Convert to fraction form
    147,944/323,533 = 323,533/x
  3. Step 3: Cross multiply
    147,944x = 323,533 × 323,533
  4. Step 4: Simplify right side
    147,944x = 104,673,602,089
  5. Step 5: Solve for x
    x = 104,673,602,089/147,944
  6. Step 6: Final answer
    x = 707,521.78

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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.