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Finding the Third Proportional to 128,352 and 279,078

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Solution

The third proportional to 128,352 and 279,078 is: 606,804.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,352 : 279,078 = 279,078 : x
  2. Step 2: Convert to fraction form
    128,352/279,078 = 279,078/x
  3. Step 3: Cross multiply
    128,352x = 279,078 × 279,078
  4. Step 4: Simplify right side
    128,352x = 77,884,530,084
  5. Step 5: Solve for x
    x = 77,884,530,084/128,352
  6. Step 6: Final answer
    x = 606,804.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.