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Finding the Third Proportional to 151,787.50 and 326,537

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Solution

The third proportional to 151,787.50 and 326,537 is: 702,471.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,787.50 : 326,537 = 326,537 : x
  2. Step 2: Convert to fraction form
    151,787.50/326,537 = 326,537/x
  3. Step 3: Cross multiply
    151,787.50x = 326,537 × 326,537
  4. Step 4: Simplify right side
    151,787.50x = 106,626,412,369
  5. Step 5: Solve for x
    x = 106,626,412,369/151,787.50
  6. Step 6: Final answer
    x = 702,471.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.