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Finding the Third Proportional to 161,146.34 and 341,502.22

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Solution

The third proportional to 161,146.34 and 341,502.22 is: 723,713.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,146.34 : 341,502.22 = 341,502.22 : x
  2. Step 2: Convert to fraction form
    161,146.34/341,502.22 = 341,502.22/x
  3. Step 3: Cross multiply
    161,146.34x = 341,502.22 × 341,502.22
  4. Step 4: Simplify right side
    161,146.34x = 116,623,768,079.16
  5. Step 5: Solve for x
    x = 116,623,768,079.16/161,146.34
  6. Step 6: Final answer
    x = 723,713.43

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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.