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Finding the Third Proportional to 161,460 and 353,700

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Solution

The third proportional to 161,460 and 353,700 is: 774,827.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,460 : 353,700 = 353,700 : x
  2. Step 2: Convert to fraction form
    161,460/353,700 = 353,700/x
  3. Step 3: Cross multiply
    161,460x = 353,700 × 353,700
  4. Step 4: Simplify right side
    161,460x = 125,103,690,000
  5. Step 5: Solve for x
    x = 125,103,690,000/161,460
  6. Step 6: Final answer
    x = 774,827.76

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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.