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Finding the Third Proportional to 176,364 and 385,848

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Solution

The third proportional to 176,364 and 385,848 is: 844,155.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,364 : 385,848 = 385,848 : x
  2. Step 2: Convert to fraction form
    176,364/385,848 = 385,848/x
  3. Step 3: Cross multiply
    176,364x = 385,848 × 385,848
  4. Step 4: Simplify right side
    176,364x = 148,878,679,104
  5. Step 5: Solve for x
    x = 148,878,679,104/176,364
  6. Step 6: Final answer
    x = 844,155.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.