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Finding the Third Proportional to 141,570 and 288,105

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Solution

The third proportional to 141,570 and 288,105 is: 586,314.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,570 : 288,105 = 288,105 : x
  2. Step 2: Convert to fraction form
    141,570/288,105 = 288,105/x
  3. Step 3: Cross multiply
    141,570x = 288,105 × 288,105
  4. Step 4: Simplify right side
    141,570x = 83,004,491,025
  5. Step 5: Solve for x
    x = 83,004,491,025/141,570
  6. Step 6: Final answer
    x = 586,314.13

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.