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Finding the Third Proportional to 130,394 and 191,883

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Solution

The third proportional to 130,394 and 191,883 is: 282,367.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,394 : 191,883 = 191,883 : x
  2. Step 2: Convert to fraction form
    130,394/191,883 = 191,883/x
  3. Step 3: Cross multiply
    130,394x = 191,883 × 191,883
  4. Step 4: Simplify right side
    130,394x = 36,819,085,689
  5. Step 5: Solve for x
    x = 36,819,085,689/130,394
  6. Step 6: Final answer
    x = 282,367.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.