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Finding the Third Proportional to 234,523 and 363,361.50

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Solution

The third proportional to 234,523 and 363,361.50 is: 562,979.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,523 : 363,361.50 = 363,361.50 : x
  2. Step 2: Convert to fraction form
    234,523/363,361.50 = 363,361.50/x
  3. Step 3: Cross multiply
    234,523x = 363,361.50 × 363,361.50
  4. Step 4: Simplify right side
    234,523x = 132,031,579,682.25
  5. Step 5: Solve for x
    x = 132,031,579,682.25/234,523
  6. Step 6: Final answer
    x = 562,979.24

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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.