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Finding the Third Proportional to 134,032 and 207,346

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Solution

The third proportional to 134,032 and 207,346 is: 320,761.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,032 : 207,346 = 207,346 : x
  2. Step 2: Convert to fraction form
    134,032/207,346 = 207,346/x
  3. Step 3: Cross multiply
    134,032x = 207,346 × 207,346
  4. Step 4: Simplify right side
    134,032x = 42,992,363,716
  5. Step 5: Solve for x
    x = 42,992,363,716/134,032
  6. Step 6: Final answer
    x = 320,761.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.