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Finding the Third Proportional to 77,776 and 160,388

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Solution

The third proportional to 77,776 and 160,388 is: 330,748.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,776 : 160,388 = 160,388 : x
  2. Step 2: Convert to fraction form
    77,776/160,388 = 160,388/x
  3. Step 3: Cross multiply
    77,776x = 160,388 × 160,388
  4. Step 4: Simplify right side
    77,776x = 25,724,310,544
  5. Step 5: Solve for x
    x = 25,724,310,544/77,776
  6. Step 6: Final answer
    x = 330,748.70

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.