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Finding the Third Proportional to 160,152 and 340,057.50

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Solution

The third proportional to 160,152 and 340,057.50 is: 722,058.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,152 : 340,057.50 = 340,057.50 : x
  2. Step 2: Convert to fraction form
    160,152/340,057.50 = 340,057.50/x
  3. Step 3: Cross multiply
    160,152x = 340,057.50 × 340,057.50
  4. Step 4: Simplify right side
    160,152x = 115,639,103,306.25
  5. Step 5: Solve for x
    x = 115,639,103,306.25/160,152
  6. Step 6: Final answer
    x = 722,058.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.