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Finding the Third Proportional to 162,352 and 348,896

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Solution

The third proportional to 162,352 and 348,896 is: 749,780.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,352 : 348,896 = 348,896 : x
  2. Step 2: Convert to fraction form
    162,352/348,896 = 348,896/x
  3. Step 3: Cross multiply
    162,352x = 348,896 × 348,896
  4. Step 4: Simplify right side
    162,352x = 121,728,418,816
  5. Step 5: Solve for x
    x = 121,728,418,816/162,352
  6. Step 6: Final answer
    x = 749,780.84

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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.