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Finding the Third Proportional to 176,374.50 and 380,625

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Solution

The third proportional to 176,374.50 and 380,625 is: 821,407.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,374.50 : 380,625 = 380,625 : x
  2. Step 2: Convert to fraction form
    176,374.50/380,625 = 380,625/x
  3. Step 3: Cross multiply
    176,374.50x = 380,625 × 380,625
  4. Step 4: Simplify right side
    176,374.50x = 144,875,390,625
  5. Step 5: Solve for x
    x = 144,875,390,625/176,374.50
  6. Step 6: Final answer
    x = 821,407.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.