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Finding the Third Proportional to 234,493 and 363,323

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Solution

The third proportional to 234,493 and 363,323 is: 562,931.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,493 : 363,323 = 363,323 : x
  2. Step 2: Convert to fraction form
    234,493/363,323 = 363,323/x
  3. Step 3: Cross multiply
    234,493x = 363,323 × 363,323
  4. Step 4: Simplify right side
    234,493x = 132,003,602,329
  5. Step 5: Solve for x
    x = 132,003,602,329/234,493
  6. Step 6: Final answer
    x = 562,931.95

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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.