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Finding the Third Proportional to 176,973 and 385,050

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Solution

The third proportional to 176,973 and 385,050 is: 837,774.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,973 : 385,050 = 385,050 : x
  2. Step 2: Convert to fraction form
    176,973/385,050 = 385,050/x
  3. Step 3: Cross multiply
    176,973x = 385,050 × 385,050
  4. Step 4: Simplify right side
    176,973x = 148,263,502,500
  5. Step 5: Solve for x
    x = 148,263,502,500/176,973
  6. Step 6: Final answer
    x = 837,774.70

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