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Finding the Third Proportional to 159,972 and 370,346

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Solution

The third proportional to 159,972 and 370,346 is: 857,376.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,972 : 370,346 = 370,346 : x
  2. Step 2: Convert to fraction form
    159,972/370,346 = 370,346/x
  3. Step 3: Cross multiply
    159,972x = 370,346 × 370,346
  4. Step 4: Simplify right side
    159,972x = 137,156,159,716
  5. Step 5: Solve for x
    x = 137,156,159,716/159,972
  6. Step 6: Final answer
    x = 857,376.04

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.