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Finding the Third Proportional to 147,872 and 320,656

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Solution

The third proportional to 147,872 and 320,656 is: 695,332.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,872 : 320,656 = 320,656 : x
  2. Step 2: Convert to fraction form
    147,872/320,656 = 320,656/x
  3. Step 3: Cross multiply
    147,872x = 320,656 × 320,656
  4. Step 4: Simplify right side
    147,872x = 102,820,270,336
  5. Step 5: Solve for x
    x = 102,820,270,336/147,872
  6. Step 6: Final answer
    x = 695,332.93

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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.