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Finding the Third Proportional to 142,756 and 221,518

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Solution

The third proportional to 142,756 and 221,518 is: 343,734.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,756 : 221,518 = 221,518 : x
  2. Step 2: Convert to fraction form
    142,756/221,518 = 221,518/x
  3. Step 3: Cross multiply
    142,756x = 221,518 × 221,518
  4. Step 4: Simplify right side
    142,756x = 49,070,224,324
  5. Step 5: Solve for x
    x = 49,070,224,324/142,756
  6. Step 6: Final answer
    x = 343,734.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.