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Finding the Third Proportional to 174,784 and 262,085

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Solution

The third proportional to 174,784 and 262,085 is: 392,991.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,784 : 262,085 = 262,085 : x
  2. Step 2: Convert to fraction form
    174,784/262,085 = 262,085/x
  3. Step 3: Cross multiply
    174,784x = 262,085 × 262,085
  4. Step 4: Simplify right side
    174,784x = 68,688,547,225
  5. Step 5: Solve for x
    x = 68,688,547,225/174,784
  6. Step 6: Final answer
    x = 392,991.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.