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Finding the Third Proportional to 141,094 and 307,894

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Solution

The third proportional to 141,094 and 307,894 is: 671,883.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,094 : 307,894 = 307,894 : x
  2. Step 2: Convert to fraction form
    141,094/307,894 = 307,894/x
  3. Step 3: Cross multiply
    141,094x = 307,894 × 307,894
  4. Step 4: Simplify right side
    141,094x = 94,798,715,236
  5. Step 5: Solve for x
    x = 94,798,715,236/141,094
  6. Step 6: Final answer
    x = 671,883.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.