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Finding the Third Proportional to 174,960 and 385,155

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Solution

The third proportional to 174,960 and 385,155 is: 847,875.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,960 : 385,155 = 385,155 : x
  2. Step 2: Convert to fraction form
    174,960/385,155 = 385,155/x
  3. Step 3: Cross multiply
    174,960x = 385,155 × 385,155
  4. Step 4: Simplify right side
    174,960x = 148,344,374,025
  5. Step 5: Solve for x
    x = 148,344,374,025/174,960
  6. Step 6: Final answer
    x = 847,875.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.