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Finding the Third Proportional to 160,557.75 and 379,705.50

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Solution

The third proportional to 160,557.75 and 379,705.50 is: 897,971.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,557.75 : 379,705.50 = 379,705.50 : x
  2. Step 2: Convert to fraction form
    160,557.75/379,705.50 = 379,705.50/x
  3. Step 3: Cross multiply
    160,557.75x = 379,705.50 × 379,705.50
  4. Step 4: Simplify right side
    160,557.75x = 144,176,266,730.25
  5. Step 5: Solve for x
    x = 144,176,266,730.25/160,557.75
  6. Step 6: Final answer
    x = 897,971.39

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.