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Finding the Third Proportional to 103,779.50 and 228,295

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Solution

The third proportional to 103,779.50 and 228,295 is: 502,205.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,779.50 : 228,295 = 228,295 : x
  2. Step 2: Convert to fraction form
    103,779.50/228,295 = 228,295/x
  3. Step 3: Cross multiply
    103,779.50x = 228,295 × 228,295
  4. Step 4: Simplify right side
    103,779.50x = 52,118,607,025
  5. Step 5: Solve for x
    x = 52,118,607,025/103,779.50
  6. Step 6: Final answer
    x = 502,205.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.