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Finding the Third Proportional to 161,105.63 and 353,197.13

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Solution

The third proportional to 161,105.63 and 353,197.13 is: 774,325.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,105.63 : 353,197.13 = 353,197.13 : x
  2. Step 2: Convert to fraction form
    161,105.63/353,197.13 = 353,197.13/x
  3. Step 3: Cross multiply
    161,105.63x = 353,197.13 × 353,197.13
  4. Step 4: Simplify right side
    161,105.63x = 124,748,209,108.27
  5. Step 5: Solve for x
    x = 124,748,209,108.27/161,105.63
  6. Step 6: Final answer
    x = 774,325.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.