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Finding the Third Proportional to 226,090.50 and 359,893

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Solution

The third proportional to 226,090.50 and 359,893 is: 572,881.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,090.50 : 359,893 = 359,893 : x
  2. Step 2: Convert to fraction form
    226,090.50/359,893 = 359,893/x
  3. Step 3: Cross multiply
    226,090.50x = 359,893 × 359,893
  4. Step 4: Simplify right side
    226,090.50x = 129,522,971,449
  5. Step 5: Solve for x
    x = 129,522,971,449/226,090.50
  6. Step 6: Final answer
    x = 572,881.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.