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Finding the Third Proportional to 173,783 and 277,537

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Solution

The third proportional to 173,783 and 277,537 is: 443,235.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,783 : 277,537 = 277,537 : x
  2. Step 2: Convert to fraction form
    173,783/277,537 = 277,537/x
  3. Step 3: Cross multiply
    173,783x = 277,537 × 277,537
  4. Step 4: Simplify right side
    173,783x = 77,026,786,369
  5. Step 5: Solve for x
    x = 77,026,786,369/173,783
  6. Step 6: Final answer
    x = 443,235.45

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.