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Finding the Third Proportional to 134,182.69 and 289,384.88

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Solution

The third proportional to 134,182.69 and 289,384.88 is: 624,101.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,182.69 : 289,384.88 = 289,384.88 : x
  2. Step 2: Convert to fraction form
    134,182.69/289,384.88 = 289,384.88/x
  3. Step 3: Cross multiply
    134,182.69x = 289,384.88 × 289,384.88
  4. Step 4: Simplify right side
    134,182.69x = 83,743,605,878.77
  5. Step 5: Solve for x
    x = 83,743,605,878.77/134,182.69
  6. Step 6: Final answer
    x = 624,101.42

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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.