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Finding the Third Proportional to 161,955 and 348,514

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Solution

The third proportional to 161,955 and 348,514 is: 749,973.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,955 : 348,514 = 348,514 : x
  2. Step 2: Convert to fraction form
    161,955/348,514 = 348,514/x
  3. Step 3: Cross multiply
    161,955x = 348,514 × 348,514
  4. Step 4: Simplify right side
    161,955x = 121,462,008,196
  5. Step 5: Solve for x
    x = 121,462,008,196/161,955
  6. Step 6: Final answer
    x = 749,973.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.