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Finding the Third Proportional to 104,607.50 and 228,653.50

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Solution

The third proportional to 104,607.50 and 228,653.50 is: 499,796.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,607.50 : 228,653.50 = 228,653.50 : x
  2. Step 2: Convert to fraction form
    104,607.50/228,653.50 = 228,653.50/x
  3. Step 3: Cross multiply
    104,607.50x = 228,653.50 × 228,653.50
  4. Step 4: Simplify right side
    104,607.50x = 52,282,423,062.25
  5. Step 5: Solve for x
    x = 52,282,423,062.25/104,607.50
  6. Step 6: Final answer
    x = 499,796.12

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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.