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Finding the Third Proportional to 242,049 and 355,297

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Solution

The third proportional to 242,049 and 355,297 is: 521,530.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,049 : 355,297 = 355,297 : x
  2. Step 2: Convert to fraction form
    242,049/355,297 = 355,297/x
  3. Step 3: Cross multiply
    242,049x = 355,297 × 355,297
  4. Step 4: Simplify right side
    242,049x = 126,235,958,209
  5. Step 5: Solve for x
    x = 126,235,958,209/242,049
  6. Step 6: Final answer
    x = 521,530.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.