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Finding the Third Proportional to 141,417 and 297,377

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Solution

The third proportional to 141,417 and 297,377 is: 625,335.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,417 : 297,377 = 297,377 : x
  2. Step 2: Convert to fraction form
    141,417/297,377 = 297,377/x
  3. Step 3: Cross multiply
    141,417x = 297,377 × 297,377
  4. Step 4: Simplify right side
    141,417x = 88,433,080,129
  5. Step 5: Solve for x
    x = 88,433,080,129/141,417
  6. Step 6: Final answer
    x = 625,335.57

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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.