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Finding the Third Proportional to 141,382 and 292,605

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Solution

The third proportional to 141,382 and 292,605 is: 605,576.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,382 : 292,605 = 292,605 : x
  2. Step 2: Convert to fraction form
    141,382/292,605 = 292,605/x
  3. Step 3: Cross multiply
    141,382x = 292,605 × 292,605
  4. Step 4: Simplify right side
    141,382x = 85,617,686,025
  5. Step 5: Solve for x
    x = 85,617,686,025/141,382
  6. Step 6: Final answer
    x = 605,576.99

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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.