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Finding the Third Proportional to 160,548 and 379,678.50

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Solution

The third proportional to 160,548 and 379,678.50 is: 897,898.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,548 : 379,678.50 = 379,678.50 : x
  2. Step 2: Convert to fraction form
    160,548/379,678.50 = 379,678.50/x
  3. Step 3: Cross multiply
    160,548x = 379,678.50 × 379,678.50
  4. Step 4: Simplify right side
    160,548x = 144,155,763,362.25
  5. Step 5: Solve for x
    x = 144,155,763,362.25/160,548
  6. Step 6: Final answer
    x = 897,898.22

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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.