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Finding the Third Proportional to 210,961.13 and 429,755.63

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Solution

The third proportional to 210,961.13 and 429,755.63 is: 875,468.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,961.13 : 429,755.63 = 429,755.63 : x
  2. Step 2: Convert to fraction form
    210,961.13/429,755.63 = 429,755.63/x
  3. Step 3: Cross multiply
    210,961.13x = 429,755.63 × 429,755.63
  4. Step 4: Simplify right side
    210,961.13x = 184,689,897,219.14
  5. Step 5: Solve for x
    x = 184,689,897,219.14/210,961.13
  6. Step 6: Final answer
    x = 875,468.87

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.