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Finding the Third Proportional to 169,176 and 368,488

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Solution

The third proportional to 169,176 and 368,488 is: 802,616.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,176 : 368,488 = 368,488 : x
  2. Step 2: Convert to fraction form
    169,176/368,488 = 368,488/x
  3. Step 3: Cross multiply
    169,176x = 368,488 × 368,488
  4. Step 4: Simplify right side
    169,176x = 135,783,406,144
  5. Step 5: Solve for x
    x = 135,783,406,144/169,176
  6. Step 6: Final answer
    x = 802,616.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.