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Finding the Third Proportional to 161,484 and 350,184

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Solution

The third proportional to 161,484 and 350,184 is: 759,386.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,484 : 350,184 = 350,184 : x
  2. Step 2: Convert to fraction form
    161,484/350,184 = 350,184/x
  3. Step 3: Cross multiply
    161,484x = 350,184 × 350,184
  4. Step 4: Simplify right side
    161,484x = 122,628,833,856
  5. Step 5: Solve for x
    x = 122,628,833,856/161,484
  6. Step 6: Final answer
    x = 759,386.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.