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Finding the Third Proportional to 133,070 and 284,588

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Solution

The third proportional to 133,070 and 284,588 is: 608,629.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,070 : 284,588 = 284,588 : x
  2. Step 2: Convert to fraction form
    133,070/284,588 = 284,588/x
  3. Step 3: Cross multiply
    133,070x = 284,588 × 284,588
  4. Step 4: Simplify right side
    133,070x = 80,990,329,744
  5. Step 5: Solve for x
    x = 80,990,329,744/133,070
  6. Step 6: Final answer
    x = 608,629.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.