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Finding the Third Proportional to 161,748 and 345,662

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Solution

The third proportional to 161,748 and 345,662 is: 738,693.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,748 : 345,662 = 345,662 : x
  2. Step 2: Convert to fraction form
    161,748/345,662 = 345,662/x
  3. Step 3: Cross multiply
    161,748x = 345,662 × 345,662
  4. Step 4: Simplify right side
    161,748x = 119,482,218,244
  5. Step 5: Solve for x
    x = 119,482,218,244/161,748
  6. Step 6: Final answer
    x = 738,693.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.