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Finding the Third Proportional to 191,387.25 and 447,030

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Solution

The third proportional to 191,387.25 and 447,030 is: 1,044,143.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,387.25 : 447,030 = 447,030 : x
  2. Step 2: Convert to fraction form
    191,387.25/447,030 = 447,030/x
  3. Step 3: Cross multiply
    191,387.25x = 447,030 × 447,030
  4. Step 4: Simplify right side
    191,387.25x = 199,835,820,900
  5. Step 5: Solve for x
    x = 199,835,820,900/191,387.25
  6. Step 6: Final answer
    x = 1,044,143.85

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.