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Finding the Third Proportional to 160,032 and 348,864

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Solution

The third proportional to 160,032 and 348,864 is: 760,510.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,032 : 348,864 = 348,864 : x
  2. Step 2: Convert to fraction form
    160,032/348,864 = 348,864/x
  3. Step 3: Cross multiply
    160,032x = 348,864 × 348,864
  4. Step 4: Simplify right side
    160,032x = 121,706,090,496
  5. Step 5: Solve for x
    x = 121,706,090,496/160,032
  6. Step 6: Final answer
    x = 760,510.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.