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Finding the Third Proportional to 162,938 and 348,654

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Solution

The third proportional to 162,938 and 348,654 is: 746,048.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,938 : 348,654 = 348,654 : x
  2. Step 2: Convert to fraction form
    162,938/348,654 = 348,654/x
  3. Step 3: Cross multiply
    162,938x = 348,654 × 348,654
  4. Step 4: Simplify right side
    162,938x = 121,559,611,716
  5. Step 5: Solve for x
    x = 121,559,611,716/162,938
  6. Step 6: Final answer
    x = 746,048.26

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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.