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Finding the Third Proportional to 161,125.88 and 354,429

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Solution

The third proportional to 161,125.88 and 354,429 is: 779,638.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,125.88 : 354,429 = 354,429 : x
  2. Step 2: Convert to fraction form
    161,125.88/354,429 = 354,429/x
  3. Step 3: Cross multiply
    161,125.88x = 354,429 × 354,429
  4. Step 4: Simplify right side
    161,125.88x = 125,619,916,041
  5. Step 5: Solve for x
    x = 125,619,916,041/161,125.88
  6. Step 6: Final answer
    x = 779,638.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.