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Finding the Third Proportional to 159,458 and 346,944

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Solution

The third proportional to 159,458 and 346,944 is: 754,870.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,458 : 346,944 = 346,944 : x
  2. Step 2: Convert to fraction form
    159,458/346,944 = 346,944/x
  3. Step 3: Cross multiply
    159,458x = 346,944 × 346,944
  4. Step 4: Simplify right side
    159,458x = 120,370,139,136
  5. Step 5: Solve for x
    x = 120,370,139,136/159,458
  6. Step 6: Final answer
    x = 754,870.49

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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.