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Finding the Third Proportional to 160,767 and 359,595

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Solution

The third proportional to 160,767 and 359,595 is: 804,322.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,767 : 359,595 = 359,595 : x
  2. Step 2: Convert to fraction form
    160,767/359,595 = 359,595/x
  3. Step 3: Cross multiply
    160,767x = 359,595 × 359,595
  4. Step 4: Simplify right side
    160,767x = 129,308,564,025
  5. Step 5: Solve for x
    x = 129,308,564,025/160,767
  6. Step 6: Final answer
    x = 804,322.80

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.