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Finding the Third Proportional to 156,184 and 340,640

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Solution

The third proportional to 156,184 and 340,640 is: 742,941.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,184 : 340,640 = 340,640 : x
  2. Step 2: Convert to fraction form
    156,184/340,640 = 340,640/x
  3. Step 3: Cross multiply
    156,184x = 340,640 × 340,640
  4. Step 4: Simplify right side
    156,184x = 116,035,609,600
  5. Step 5: Solve for x
    x = 116,035,609,600/156,184
  6. Step 6: Final answer
    x = 742,941.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.