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Finding the Third Proportional to 296,186.63 and 446,897.25

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Solution

The third proportional to 296,186.63 and 446,897.25 is: 674,294.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,186.63 : 446,897.25 = 446,897.25 : x
  2. Step 2: Convert to fraction form
    296,186.63/446,897.25 = 446,897.25/x
  3. Step 3: Cross multiply
    296,186.63x = 446,897.25 × 446,897.25
  4. Step 4: Simplify right side
    296,186.63x = 199,717,152,057.56
  5. Step 5: Solve for x
    x = 199,717,152,057.56/296,186.63
  6. Step 6: Final answer
    x = 674,294.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.