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Finding the Third Proportional to 176,976 and 385,051.50

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Solution

The third proportional to 176,976 and 385,051.50 is: 837,767.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,976 : 385,051.50 = 385,051.50 : x
  2. Step 2: Convert to fraction form
    176,976/385,051.50 = 385,051.50/x
  3. Step 3: Cross multiply
    176,976x = 385,051.50 × 385,051.50
  4. Step 4: Simplify right side
    176,976x = 148,264,657,652.25
  5. Step 5: Solve for x
    x = 148,264,657,652.25/176,976
  6. Step 6: Final answer
    x = 837,767.03

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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.