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Finding the Third Proportional to 242,032 and 338,532

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Solution

The third proportional to 242,032 and 338,532 is: 473,507.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,032 : 338,532 = 338,532 : x
  2. Step 2: Convert to fraction form
    242,032/338,532 = 338,532/x
  3. Step 3: Cross multiply
    242,032x = 338,532 × 338,532
  4. Step 4: Simplify right side
    242,032x = 114,603,915,024
  5. Step 5: Solve for x
    x = 114,603,915,024/242,032
  6. Step 6: Final answer
    x = 473,507.28

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.