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Finding the Third Proportional to 134,133 and 289,342

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Solution

The third proportional to 134,133 and 289,342 is: 624,147.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,133 : 289,342 = 289,342 : x
  2. Step 2: Convert to fraction form
    134,133/289,342 = 289,342/x
  3. Step 3: Cross multiply
    134,133x = 289,342 × 289,342
  4. Step 4: Simplify right side
    134,133x = 83,718,792,964
  5. Step 5: Solve for x
    x = 83,718,792,964/134,133
  6. Step 6: Final answer
    x = 624,147.62

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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.