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Finding the Third Proportional to 104,265.56 and 228,830.06

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Solution

The third proportional to 104,265.56 and 228,830.06 is: 502,209.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,265.56 : 228,830.06 = 228,830.06 : x
  2. Step 2: Convert to fraction form
    104,265.56/228,830.06 = 228,830.06/x
  3. Step 3: Cross multiply
    104,265.56x = 228,830.06 × 228,830.06
  4. Step 4: Simplify right side
    104,265.56x = 52,363,197,503.75
  5. Step 5: Solve for x
    x = 52,363,197,503.75/104,265.56
  6. Step 6: Final answer
    x = 502,209.90

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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.