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Finding the Third Proportional to 142,994 and 282,394

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Solution

The third proportional to 142,994 and 282,394 is: 557,690.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,994 : 282,394 = 282,394 : x
  2. Step 2: Convert to fraction form
    142,994/282,394 = 282,394/x
  3. Step 3: Cross multiply
    142,994x = 282,394 × 282,394
  4. Step 4: Simplify right side
    142,994x = 79,746,371,236
  5. Step 5: Solve for x
    x = 79,746,371,236/142,994
  6. Step 6: Final answer
    x = 557,690.33

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.