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Finding the Third Proportional to 175,644.50 and 277,853

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Solution

The third proportional to 175,644.50 and 277,853 is: 439,537.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,644.50 : 277,853 = 277,853 : x
  2. Step 2: Convert to fraction form
    175,644.50/277,853 = 277,853/x
  3. Step 3: Cross multiply
    175,644.50x = 277,853 × 277,853
  4. Step 4: Simplify right side
    175,644.50x = 77,202,289,609
  5. Step 5: Solve for x
    x = 77,202,289,609/175,644.50
  6. Step 6: Final answer
    x = 439,537.19

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.