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Finding the Third Proportional to 160,638.75 and 233,428.50

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Solution

The third proportional to 160,638.75 and 233,428.50 is: 339,201.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,638.75 : 233,428.50 = 233,428.50 : x
  2. Step 2: Convert to fraction form
    160,638.75/233,428.50 = 233,428.50/x
  3. Step 3: Cross multiply
    160,638.75x = 233,428.50 × 233,428.50
  4. Step 4: Simplify right side
    160,638.75x = 54,488,864,612.25
  5. Step 5: Solve for x
    x = 54,488,864,612.25/160,638.75
  6. Step 6: Final answer
    x = 339,201.25

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.