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Finding the Third Proportional to 107,640 and 232,352

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Solution

The third proportional to 107,640 and 232,352 is: 501,555.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,640 : 232,352 = 232,352 : x
  2. Step 2: Convert to fraction form
    107,640/232,352 = 232,352/x
  3. Step 3: Cross multiply
    107,640x = 232,352 × 232,352
  4. Step 4: Simplify right side
    107,640x = 53,987,451,904
  5. Step 5: Solve for x
    x = 53,987,451,904/107,640
  6. Step 6: Final answer
    x = 501,555.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.