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Finding the Third Proportional to 173,570 and 277,827

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Solution

The third proportional to 173,570 and 277,827 is: 444,707.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,570 : 277,827 = 277,827 : x
  2. Step 2: Convert to fraction form
    173,570/277,827 = 277,827/x
  3. Step 3: Cross multiply
    173,570x = 277,827 × 277,827
  4. Step 4: Simplify right side
    173,570x = 77,187,841,929
  5. Step 5: Solve for x
    x = 77,187,841,929/173,570
  6. Step 6: Final answer
    x = 444,707.28

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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.