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Finding the Third Proportional to 104,526.38 and 229,353.38

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Solution

The third proportional to 104,526.38 and 229,353.38 is: 503,250.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,526.38 : 229,353.38 = 229,353.38 : x
  2. Step 2: Convert to fraction form
    104,526.38/229,353.38 = 229,353.38/x
  3. Step 3: Cross multiply
    104,526.38x = 229,353.38 × 229,353.38
  4. Step 4: Simplify right side
    104,526.38x = 52,602,970,623.89
  5. Step 5: Solve for x
    x = 52,602,970,623.89/104,526.38
  6. Step 6: Final answer
    x = 503,250.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.