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Finding the Third Proportional to 141,426 and 297,393

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Solution

The third proportional to 141,426 and 297,393 is: 625,363.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,426 : 297,393 = 297,393 : x
  2. Step 2: Convert to fraction form
    141,426/297,393 = 297,393/x
  3. Step 3: Cross multiply
    141,426x = 297,393 × 297,393
  4. Step 4: Simplify right side
    141,426x = 88,442,596,449
  5. Step 5: Solve for x
    x = 88,442,596,449/141,426
  6. Step 6: Final answer
    x = 625,363.06

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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.