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Finding the Third Proportional to 103,592.75 and 228,964.50

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Solution

The third proportional to 103,592.75 and 228,964.50 is: 506,065.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,592.75 : 228,964.50 = 228,964.50 : x
  2. Step 2: Convert to fraction form
    103,592.75/228,964.50 = 228,964.50/x
  3. Step 3: Cross multiply
    103,592.75x = 228,964.50 × 228,964.50
  4. Step 4: Simplify right side
    103,592.75x = 52,424,742,260.25
  5. Step 5: Solve for x
    x = 52,424,742,260.25/103,592.75
  6. Step 6: Final answer
    x = 506,065.75

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.