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Finding the Third Proportional to 160,938 and 236,476.50

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Solution

The third proportional to 160,938 and 236,476.50 is: 347,470.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,938 : 236,476.50 = 236,476.50 : x
  2. Step 2: Convert to fraction form
    160,938/236,476.50 = 236,476.50/x
  3. Step 3: Cross multiply
    160,938x = 236,476.50 × 236,476.50
  4. Step 4: Simplify right side
    160,938x = 55,921,135,052.25
  5. Step 5: Solve for x
    x = 55,921,135,052.25/160,938
  6. Step 6: Final answer
    x = 347,470.05

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Why These Related Problems?

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