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Finding the Third Proportional to 159,092 and 346,222

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Solution

The third proportional to 159,092 and 346,222 is: 753,461.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,092 : 346,222 = 346,222 : x
  2. Step 2: Convert to fraction form
    159,092/346,222 = 346,222/x
  3. Step 3: Cross multiply
    159,092x = 346,222 × 346,222
  4. Step 4: Simplify right side
    159,092x = 119,869,673,284
  5. Step 5: Solve for x
    x = 119,869,673,284/159,092
  6. Step 6: Final answer
    x = 753,461.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.