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Finding the Third Proportional to 141,415 and 297,373

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Solution

The third proportional to 141,415 and 297,373 is: 625,327.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,415 : 297,373 = 297,373 : x
  2. Step 2: Convert to fraction form
    141,415/297,373 = 297,373/x
  3. Step 3: Cross multiply
    141,415x = 297,373 × 297,373
  4. Step 4: Simplify right side
    141,415x = 88,430,701,129
  5. Step 5: Solve for x
    x = 88,430,701,129/141,415
  6. Step 6: Final answer
    x = 625,327.59

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.