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Finding the Third Proportional to 161,148 and 347,919

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Solution

The third proportional to 161,148 and 347,919 is: 751,158.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,148 : 347,919 = 347,919 : x
  2. Step 2: Convert to fraction form
    161,148/347,919 = 347,919/x
  3. Step 3: Cross multiply
    161,148x = 347,919 × 347,919
  4. Step 4: Simplify right side
    161,148x = 121,047,630,561
  5. Step 5: Solve for x
    x = 121,047,630,561/161,148
  6. Step 6: Final answer
    x = 751,158.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.