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Finding the Third Proportional to 142,594 and 199,368

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Solution

The third proportional to 142,594 and 199,368 is: 278,746.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,594 : 199,368 = 199,368 : x
  2. Step 2: Convert to fraction form
    142,594/199,368 = 199,368/x
  3. Step 3: Cross multiply
    142,594x = 199,368 × 199,368
  4. Step 4: Simplify right side
    142,594x = 39,747,599,424
  5. Step 5: Solve for x
    x = 39,747,599,424/142,594
  6. Step 6: Final answer
    x = 278,746.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.