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Finding the Third Proportional to 134,135 and 284,260

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Solution

The third proportional to 134,135 and 284,260 is: 602,406.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,135 : 284,260 = 284,260 : x
  2. Step 2: Convert to fraction form
    134,135/284,260 = 284,260/x
  3. Step 3: Cross multiply
    134,135x = 284,260 × 284,260
  4. Step 4: Simplify right side
    134,135x = 80,803,747,600
  5. Step 5: Solve for x
    x = 80,803,747,600/134,135
  6. Step 6: Final answer
    x = 602,406.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.