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Finding the Third Proportional to 162,336 and 348,864

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Solution

The third proportional to 162,336 and 348,864 is: 749,717.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,336 : 348,864 = 348,864 : x
  2. Step 2: Convert to fraction form
    162,336/348,864 = 348,864/x
  3. Step 3: Cross multiply
    162,336x = 348,864 × 348,864
  4. Step 4: Simplify right side
    162,336x = 121,706,090,496
  5. Step 5: Solve for x
    x = 121,706,090,496/162,336
  6. Step 6: Final answer
    x = 749,717.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.