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Finding the Third Proportional to 160,417.69 and 348,546.94

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Solution

The third proportional to 160,417.69 and 348,546.94 is: 757,304.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,417.69 : 348,546.94 = 348,546.94 : x
  2. Step 2: Convert to fraction form
    160,417.69/348,546.94 = 348,546.94/x
  3. Step 3: Cross multiply
    160,417.69x = 348,546.94 × 348,546.94
  4. Step 4: Simplify right side
    160,417.69x = 121,484,967,640.63
  5. Step 5: Solve for x
    x = 121,484,967,640.63/160,417.69
  6. Step 6: Final answer
    x = 757,304.07

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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.