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Finding the Third Proportional to 234,169 and 363,265.50

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Solution

The third proportional to 234,169 and 363,265.50 is: 563,532.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,169 : 363,265.50 = 363,265.50 : x
  2. Step 2: Convert to fraction form
    234,169/363,265.50 = 363,265.50/x
  3. Step 3: Cross multiply
    234,169x = 363,265.50 × 363,265.50
  4. Step 4: Simplify right side
    234,169x = 131,961,823,490.25
  5. Step 5: Solve for x
    x = 131,961,823,490.25/234,169
  6. Step 6: Final answer
    x = 563,532.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.