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Finding the Third Proportional to 160,429.36 and 348,568.31

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Solution

The third proportional to 160,429.36 and 348,568.31 is: 757,341.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,429.36 : 348,568.31 = 348,568.31 : x
  2. Step 2: Convert to fraction form
    160,429.36/348,568.31 = 348,568.31/x
  3. Step 3: Cross multiply
    160,429.36x = 348,568.31 × 348,568.31
  4. Step 4: Simplify right side
    160,429.36x = 121,499,868,479.10
  5. Step 5: Solve for x
    x = 121,499,868,479.10/160,429.36
  6. Step 6: Final answer
    x = 757,341.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.