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Finding the Third Proportional to 161,432 and 353,488

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Solution

The third proportional to 161,432 and 353,488 is: 774,033.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,432 : 353,488 = 353,488 : x
  2. Step 2: Convert to fraction form
    161,432/353,488 = 353,488/x
  3. Step 3: Cross multiply
    161,432x = 353,488 × 353,488
  4. Step 4: Simplify right side
    161,432x = 124,953,766,144
  5. Step 5: Solve for x
    x = 124,953,766,144/161,432
  6. Step 6: Final answer
    x = 774,033.44

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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.