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Finding the Third Proportional to 172,064.25 and 377,368.88

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Solution

The third proportional to 172,064.25 and 377,368.88 is: 827,640.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,064.25 : 377,368.88 = 377,368.88 : x
  2. Step 2: Convert to fraction form
    172,064.25/377,368.88 = 377,368.88/x
  3. Step 3: Cross multiply
    172,064.25x = 377,368.88 × 377,368.88
  4. Step 4: Simplify right side
    172,064.25x = 142,407,267,818.77
  5. Step 5: Solve for x
    x = 142,407,267,818.77/172,064.25
  6. Step 6: Final answer
    x = 827,640.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.