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Finding the Third Proportional to 176,076 and 383,590

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Solution

The third proportional to 176,076 and 383,590 is: 835,669.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,076 : 383,590 = 383,590 : x
  2. Step 2: Convert to fraction form
    176,076/383,590 = 383,590/x
  3. Step 3: Cross multiply
    176,076x = 383,590 × 383,590
  4. Step 4: Simplify right side
    176,076x = 147,141,288,100
  5. Step 5: Solve for x
    x = 147,141,288,100/176,076
  6. Step 6: Final answer
    x = 835,669.19

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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.