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Finding the Third Proportional to 136,515 and 282,438

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Solution

The third proportional to 136,515 and 282,438 is: 584,340.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,515 : 282,438 = 282,438 : x
  2. Step 2: Convert to fraction form
    136,515/282,438 = 282,438/x
  3. Step 3: Cross multiply
    136,515x = 282,438 × 282,438
  4. Step 4: Simplify right side
    136,515x = 79,771,223,844
  5. Step 5: Solve for x
    x = 79,771,223,844/136,515
  6. Step 6: Final answer
    x = 584,340.36

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.