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Finding the Third Proportional to 241,119 and 339,646.50

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Solution

The third proportional to 241,119 and 339,646.50 is: 478,434.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,119 : 339,646.50 = 339,646.50 : x
  2. Step 2: Convert to fraction form
    241,119/339,646.50 = 339,646.50/x
  3. Step 3: Cross multiply
    241,119x = 339,646.50 × 339,646.50
  4. Step 4: Simplify right side
    241,119x = 115,359,744,962.25
  5. Step 5: Solve for x
    x = 115,359,744,962.25/241,119
  6. Step 6: Final answer
    x = 478,434.90

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.