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Finding the Third Proportional to 162,346 and 347,102

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Solution

The third proportional to 162,346 and 347,102 is: 742,117.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,346 : 347,102 = 347,102 : x
  2. Step 2: Convert to fraction form
    162,346/347,102 = 347,102/x
  3. Step 3: Cross multiply
    162,346x = 347,102 × 347,102
  4. Step 4: Simplify right side
    162,346x = 120,479,798,404
  5. Step 5: Solve for x
    x = 120,479,798,404/162,346
  6. Step 6: Final answer
    x = 742,117.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.