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Finding the Third Proportional to 159,894 and 346,284

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Solution

The third proportional to 159,894 and 346,284 is: 749,950.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,894 : 346,284 = 346,284 : x
  2. Step 2: Convert to fraction form
    159,894/346,284 = 346,284/x
  3. Step 3: Cross multiply
    159,894x = 346,284 × 346,284
  4. Step 4: Simplify right side
    159,894x = 119,912,608,656
  5. Step 5: Solve for x
    x = 119,912,608,656/159,894
  6. Step 6: Final answer
    x = 749,950.65

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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.