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Finding the Third Proportional to 134,389 and 282,569

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Solution

The third proportional to 134,389 and 282,569 is: 594,135.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,389 : 282,569 = 282,569 : x
  2. Step 2: Convert to fraction form
    134,389/282,569 = 282,569/x
  3. Step 3: Cross multiply
    134,389x = 282,569 × 282,569
  4. Step 4: Simplify right side
    134,389x = 79,845,239,761
  5. Step 5: Solve for x
    x = 79,845,239,761/134,389
  6. Step 6: Final answer
    x = 594,135.23

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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.