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Finding the Third Proportional to 156,986 and 341,332

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Solution

The third proportional to 156,986 and 341,332 is: 742,152.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,986 : 341,332 = 341,332 : x
  2. Step 2: Convert to fraction form
    156,986/341,332 = 341,332/x
  3. Step 3: Cross multiply
    156,986x = 341,332 × 341,332
  4. Step 4: Simplify right side
    156,986x = 116,507,534,224
  5. Step 5: Solve for x
    x = 116,507,534,224/156,986
  6. Step 6: Final answer
    x = 742,152.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.