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Finding the Third Proportional to 226,094.06 and 359,898.19

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Solution

The third proportional to 226,094.06 and 359,898.19 is: 572,888.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,094.06 : 359,898.19 = 359,898.19 : x
  2. Step 2: Convert to fraction form
    226,094.06/359,898.19 = 359,898.19/x
  3. Step 3: Cross multiply
    226,094.06x = 359,898.19 × 359,898.19
  4. Step 4: Simplify right side
    226,094.06x = 129,526,705,365.79
  5. Step 5: Solve for x
    x = 129,526,705,365.79/226,094.06
  6. Step 6: Final answer
    x = 572,888.58

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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.