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Finding the Third Proportional to 134,336 and 282,460

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Solution

The third proportional to 134,336 and 282,460 is: 593,911.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,336 : 282,460 = 282,460 : x
  2. Step 2: Convert to fraction form
    134,336/282,460 = 282,460/x
  3. Step 3: Cross multiply
    134,336x = 282,460 × 282,460
  4. Step 4: Simplify right side
    134,336x = 79,783,651,600
  5. Step 5: Solve for x
    x = 79,783,651,600/134,336
  6. Step 6: Final answer
    x = 593,911.17

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.