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Finding the Third Proportional to 176,742 and 373,955

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Solution

The third proportional to 176,742 and 373,955 is: 791,223.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,742 : 373,955 = 373,955 : x
  2. Step 2: Convert to fraction form
    176,742/373,955 = 373,955/x
  3. Step 3: Cross multiply
    176,742x = 373,955 × 373,955
  4. Step 4: Simplify right side
    176,742x = 139,842,342,025
  5. Step 5: Solve for x
    x = 139,842,342,025/176,742
  6. Step 6: Final answer
    x = 791,223.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.