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Finding the Third Proportional to 176,706 and 368,315

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Solution

The third proportional to 176,706 and 368,315 is: 767,692.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,706 : 368,315 = 368,315 : x
  2. Step 2: Convert to fraction form
    176,706/368,315 = 368,315/x
  3. Step 3: Cross multiply
    176,706x = 368,315 × 368,315
  4. Step 4: Simplify right side
    176,706x = 135,655,939,225
  5. Step 5: Solve for x
    x = 135,655,939,225/176,706
  6. Step 6: Final answer
    x = 767,692.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.