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Finding the Third Proportional to 160,320 and 308,352

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Solution

The third proportional to 160,320 and 308,352 is: 593,069.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,320 : 308,352 = 308,352 : x
  2. Step 2: Convert to fraction form
    160,320/308,352 = 308,352/x
  3. Step 3: Cross multiply
    160,320x = 308,352 × 308,352
  4. Step 4: Simplify right side
    160,320x = 95,080,955,904
  5. Step 5: Solve for x
    x = 95,080,955,904/160,320
  6. Step 6: Final answer
    x = 593,069.83

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.