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Finding the Third Proportional to 176,391 and 384,507

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Solution

The third proportional to 176,391 and 384,507 is: 838,169.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,391 : 384,507 = 384,507 : x
  2. Step 2: Convert to fraction form
    176,391/384,507 = 384,507/x
  3. Step 3: Cross multiply
    176,391x = 384,507 × 384,507
  4. Step 4: Simplify right side
    176,391x = 147,845,633,049
  5. Step 5: Solve for x
    x = 147,845,633,049/176,391
  6. Step 6: Final answer
    x = 838,169.94

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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.