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Finding the Third Proportional to 176,356 and 380,587

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Solution

The third proportional to 176,356 and 380,587 is: 821,329.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,356 : 380,587 = 380,587 : x
  2. Step 2: Convert to fraction form
    176,356/380,587 = 380,587/x
  3. Step 3: Cross multiply
    176,356x = 380,587 × 380,587
  4. Step 4: Simplify right side
    176,356x = 144,846,464,569
  5. Step 5: Solve for x
    x = 144,846,464,569/176,356
  6. Step 6: Final answer
    x = 821,329.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.