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Finding the Third Proportional to 165,059.50 and 242,896

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Solution

The third proportional to 165,059.50 and 242,896 is: 357,437.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,059.50 : 242,896 = 242,896 : x
  2. Step 2: Convert to fraction form
    165,059.50/242,896 = 242,896/x
  3. Step 3: Cross multiply
    165,059.50x = 242,896 × 242,896
  4. Step 4: Simplify right side
    165,059.50x = 58,998,466,816
  5. Step 5: Solve for x
    x = 58,998,466,816/165,059.50
  6. Step 6: Final answer
    x = 357,437.57

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.