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Finding the Third Proportional to 160,184 and 335,488

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Solution

The third proportional to 160,184 and 335,488 is: 702,643.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,184 : 335,488 = 335,488 : x
  2. Step 2: Convert to fraction form
    160,184/335,488 = 335,488/x
  3. Step 3: Cross multiply
    160,184x = 335,488 × 335,488
  4. Step 4: Simplify right side
    160,184x = 112,552,198,144
  5. Step 5: Solve for x
    x = 112,552,198,144/160,184
  6. Step 6: Final answer
    x = 702,643.20

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.