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Finding the Third Proportional to 104,870.75 and 227,237.50

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Solution

The third proportional to 104,870.75 and 227,237.50 is: 492,385.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,870.75 : 227,237.50 = 227,237.50 : x
  2. Step 2: Convert to fraction form
    104,870.75/227,237.50 = 227,237.50/x
  3. Step 3: Cross multiply
    104,870.75x = 227,237.50 × 227,237.50
  4. Step 4: Simplify right side
    104,870.75x = 51,636,881,406.25
  5. Step 5: Solve for x
    x = 51,636,881,406.25/104,870.75
  6. Step 6: Final answer
    x = 492,385.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.