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Finding the Third Proportional to 147,935 and 323,491

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Solution

The third proportional to 147,935 and 323,491 is: 707,381.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,935 : 323,491 = 323,491 : x
  2. Step 2: Convert to fraction form
    147,935/323,491 = 323,491/x
  3. Step 3: Cross multiply
    147,935x = 323,491 × 323,491
  4. Step 4: Simplify right side
    147,935x = 104,646,427,081
  5. Step 5: Solve for x
    x = 104,646,427,081/147,935
  6. Step 6: Final answer
    x = 707,381.13

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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.