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Finding the Third Proportional to 134,134 and 289,346

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Solution

The third proportional to 134,134 and 289,346 is: 624,160.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,134 : 289,346 = 289,346 : x
  2. Step 2: Convert to fraction form
    134,134/289,346 = 289,346/x
  3. Step 3: Cross multiply
    134,134x = 289,346 × 289,346
  4. Step 4: Simplify right side
    134,134x = 83,721,107,716
  5. Step 5: Solve for x
    x = 83,721,107,716/134,134
  6. Step 6: Final answer
    x = 624,160.23

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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.