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Finding the Third Proportional to 194,381 and 290,070

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Solution

The third proportional to 194,381 and 290,070 is: 432,864.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,381 : 290,070 = 290,070 : x
  2. Step 2: Convert to fraction form
    194,381/290,070 = 290,070/x
  3. Step 3: Cross multiply
    194,381x = 290,070 × 290,070
  4. Step 4: Simplify right side
    194,381x = 84,140,604,900
  5. Step 5: Solve for x
    x = 84,140,604,900/194,381
  6. Step 6: Final answer
    x = 432,864.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.