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Finding the Third Proportional to 160,783.50 and 344,895

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Solution

The third proportional to 160,783.50 and 344,895 is: 739,830.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,783.50 : 344,895 = 344,895 : x
  2. Step 2: Convert to fraction form
    160,783.50/344,895 = 344,895/x
  3. Step 3: Cross multiply
    160,783.50x = 344,895 × 344,895
  4. Step 4: Simplify right side
    160,783.50x = 118,952,561,025
  5. Step 5: Solve for x
    x = 118,952,561,025/160,783.50
  6. Step 6: Final answer
    x = 739,830.65

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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.