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Finding the Third Proportional to 159,384 and 346,808

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Solution

The third proportional to 159,384 and 346,808 is: 754,629.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,384 : 346,808 = 346,808 : x
  2. Step 2: Convert to fraction form
    159,384/346,808 = 346,808/x
  3. Step 3: Cross multiply
    159,384x = 346,808 × 346,808
  4. Step 4: Simplify right side
    159,384x = 120,275,788,864
  5. Step 5: Solve for x
    x = 120,275,788,864/159,384
  6. Step 6: Final answer
    x = 754,629.00

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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.