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Finding the Third Proportional to 119,533.50 and 260,097

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Solution

The third proportional to 119,533.50 and 260,097 is: 565,953.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,533.50 : 260,097 = 260,097 : x
  2. Step 2: Convert to fraction form
    119,533.50/260,097 = 260,097/x
  3. Step 3: Cross multiply
    119,533.50x = 260,097 × 260,097
  4. Step 4: Simplify right side
    119,533.50x = 67,650,449,409
  5. Step 5: Solve for x
    x = 67,650,449,409/119,533.50
  6. Step 6: Final answer
    x = 565,953.89

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.